⚪ ⚪ ⚪ 206. 4, 3 5, - [MCQ : Tapan-1st, DU : 18-19] (1 point) ⚪ 12 60 ⚪ 25 ⚪ 15 207. - i. ii. iii. ? [MCQ : Tapan-1st, R.B-19] (1 point) ⚪ i ⚪ i ও ii ii ও iii ⚪ i ও iii 208. 5 6 60° ? [MCQ : Tapan-1st, MAT : 13-14] (1 point) ⚪ 15√2 ⚪ 10√3 15√3 ⚪ 15√5 209. - [MCQ : Tapan-1st, JU : 19-20] (1 point) ⚪ C → A × → B ∣ ∣ ∣ → B × → A ∣ ∣ ∣ ∣ ∣ ∣ → B × → A ∣ ∣ ∣ → A × → B ∣ ∣ ∣ → A × → B ∣ ∣ ∣ → B × → A → a , → b , → c → a + → b + → c = 0 ∣ ∣ ∣ → c × (→ a × → b ) ∣ ∣ ∣ → A , → B → A . → B = 0 → A × → B = 0 ∣ ∣ ∣ → A ∣ ∣ ∣ + ∣ ∣ ∣ → B ∣ ∣ ∣ = A + B → A , → B → A × → B → C × → C
⚪ C 2 শূন্য শূ ⚪ 2C 210. ? [MCQ : Tapan-1st, DU (7 Colleges): 17-18] (1 point) 0 ⚪ +1 ⚪ √3 ⚪ -1 211. ? [MCQ : Tapan-1st, JU : 18-19, J.B-15] (1 point) ⚪ 0 ⚪ ⚪ 212. ? [MCQ : Tapan-1st, RU : 17-18, Marine : 17-18] (1 point) sin ⚪ √ ⚪ log ⚪ 213. - [MCQ : Tapan-1st] (1 point) ⚪ ⚪ ⚪ 214. - [MCQ : Tapan-1st] (1 point) ⚪ ⚪ ⚪ ˆk. ( ˆk × ˆi) ˆj × (ˆj × ˆk) = −kˆ kˆ ˆi d dx −→ ∇ . → V −→ ∇ V −→ ∇ × → V → V . −→ ∇ −→ ∇ → V −→ ∇ φ −→ ∇ . → V −→ ∇ → φ
215. - [MCQ : Tapan-1st] (1 point) ⚪ ⚪ ⚪ 216. ? [MCQ : Tapan-1st, D.B-16] (1 point) ⚪ ⚪ ⚪ 217. ? [MCQ : Tapan-1st, DU : 18-19, JU : 18-19, C.B-15] (1 point) ⚪ 1 2 ⚪ 3 ⚪ 4 218. - [MCQ : Tapan-1st, C.B-15, Ch.B-17, J.B-15] (1 point) ⚪ ⚪ ⚪ 219. ? [MCQ : Tapan-1st, J.B-19] (1 point) ⚪ −→ ∇ . → V −→ ∇ V −→ ∇ → V −→ ∇ × → V −→ ∇ × → V = 0 −→ ∇ . → V = 0 −→ ∇ × → V = ' + ' ve −→ ∇ × → V = ' − ' ve → r = xˆi + yˆj + 2 ˆk −→ ∇ . → r −→ ∇ × → V = 0 −→ ∇ . → V = 0 −→ ∇ φ = 0 −→ ∇ = 0 → V −→ ∇ . → V = 0
⚪ ⚪ 220. - [MCQ : Tapan-1st, B.B-16] (1 point) ⚪ ক্রস গুণন ⚪ ডট গুণন গ্রাডিয়েন্ট ⚪ ডাইভারজেন্স 221. Q(x, y) = 3 x2y , (1, -2) [MCQ : Tapan-1st, S.B-16] (1 point) ⚪ ⚪ ⚪ 222. - i. ii. iii. ? [MCQ : Tapan-1st, C.B-16] (1 point) ⚪ i ও ii ⚪ i ও iii ⚪ ii ও iii i, ii ও iii 223. ? [MCQ : Tapan-1st, Di.B-16] (1 point) ⚪ গ্রাডিয়েন্ট ডাইভারজেন্স ⚪ কার্ল ⚪ সরণ 224. ? [MCQ : Tapan-1st, JU : 18-19] (1 point) ⚪ 1 −→ ∇ × → V = 0 −→ ∇ × → V ≠ 0 −→ ∇ . → V ≠ 0 −→ ∇ Q −6ˆi − 3ˆj −12ˆi + 3ˆj 3ˆi + 6ˆj 6ˆi − 12ˆj −→ ∇ . → v = 0 → r = xˆi + yˆj + zˆk −→ ∇ . → r =
⚪ 2 3 ⚪ 4 225. ? [MCQ : Pramanik-1st] (1 point) সরণ, টর্ক এবং বেগ ⚪ সরণ, কাজ এবং বেগ ⚪ কাজ, ক্ষমতা এবং শক্তি ⚪ ত্বরণ, কাজ এবং কৌণিক বেগ 226. 5 4 , ? [MCQ : Pramanik-1st] (1 point) ⚪ 5 একক ⚪ 7 একক ⚪ 9 একক 11 একক 227. ? [MCQ : Pramanik-1st] (1 point) ⚪ তাপমাত্রা ত্বরণ ⚪ শক্তি ⚪ ভর 228. ? [MCQ : Pramanik-1st] (1 point) ⚪ সম ভেক্টর সমরেখ ভেক্টর ⚪ সমতলীয় ভেক্টর ⚪ সমজাতীয় ভেক্টর 229. ? [MCQ : Pramanik-1st] (1 point) ⚪ বিসদৃশ ভেক্টর সদৃশ ভেক্টর ⚪ সমান ভেক্টর ⚪ বিপরীত ভেক্টর
230. ? [MCQ : Pramanik-1st] (1 point) ⚪ আয়ত ভেক্টর একক ভেক্টর ⚪ সমান ভেক্টর ⚪ নাল ভেক্টর 231. ? [MCQ : Pramanik-1st] (1 point) নাল ভেক্টর ⚪ স্বাধীন ভেক্টর ⚪ সমরেখ ভেক্টর ⚪ অবস্থান ভেক্টর 232. ? [MCQ : Pramanik-1st] (1 point) ⚪ সর্বদার্ব ⚪ সর্বদার্ব ⚪ সর্বদার্ব 233. X ? [MCQ : Pramanik-1st] (1 point) ⚪ -30 N ⚪ 0 N ⚪ 5 N 22 N 234. ? [MCQ : Pramanik-1st] (1 point) ⚪ 5 একক ⚪ 5√2 একক ⚪ 6 একক 6√2 একক 235. ? [MCQ : Pramanik-1st] (1 point) XY → P , → Q → R → F = (22ˆi + 5ˆj − 30 ˆk)N → P = 4 ˆi − 4 ˆj + ˆk → Q = 2 ˆi − 2 ˆj − ˆk 2 ˆi + 3 ˆj
⚪ YZ ⚪ XZ ⚪ XYZ 236. ? [MCQ : Pramanik-1st] (1 point) ⚪ ⚪ ⚪ 237. ? [MCQ : Pramanik-1st] (1 point) ⚪ ⚪ ⚪ 238. A(2,3,4) B(5,6,7) ? [MCQ : Pramanik-1st] (1 point) ⚪ 3 3√3 ⚪ 4.5 ⚪ 9 239. (2,3,5) (7,8,10) - [MCQ : Pramanik-1st] (1 point) ⚪ (0,0,0) ⚪ (2,3,5) (5,5,5) ⚪ (7,8,10) 240. - [MCQ : Pramanik-1st] (1 point) ⚪ ⚪ ˆi. ˆj = kˆ ˆi × ˆj = kˆ ˆi × ˆj = 1 kˆ × ˆi = − ˆj → R = 4 ˆi − 6 ˆj + 12 ˆk ˆi − ˆj + kˆ 2 7 3 7 6 7 2ˆi − 3ˆj + 6kˆ ˆi − ˆj + 2kˆ 8ˆi − 12ˆj + 24kˆ ˆi + ˆj kˆ ˆi + ˆj ˆi + ˆj √2
⚪ 241. ? [MCQ : Pramanik-1st] (1 point) ⚪ শুধু 0° ⚪ শুধু 90° ⚪ শুধু 180° 0° থেকে 180° মধ্যে 242. ? [MCQ : Pramanik-1st] (1 point) ⚪ ক্ষেত্রফল ⚪ উপাংশ লব্ধি ⚪ লম্ব অভিক্ষেপ 243. ? [MCQ : Pramanik-1st] (1 point) ⚪ tan ⚪ sin cos ⚪ cot 244. ? [MCQ : Pramanik-1st] (1 point) ⚪ 0° ⚪ 45° 90° ⚪ 180° 245. , - [MCQ : Pramanik-1st] (1 point) হয় ⚪ 1/2 ( ) হয় ⚪ সমকোণে থাকে ⚪ সমান্তরাল হয় ˆi + ˆj 2 → A + → B → A − → B → A = ˆi → B = ˆj + ˆk → A → B → P → Q → R → P , → Q → P , → Q
246. ? [MCQ : Pramanik-1st] (1 point) 0 ⚪ 1 ⚪ 2 ⚪ 247. ? [MCQ : Pramanik-1st] (1 point) ⚪ 0° ⚪ 30° ⚪ 60° 90° 248. ? [MCQ : Pramanik-1st] (1 point) ⚪ 77° 79° ⚪ 81° ⚪ 83° 249. ? [MCQ : Pramanik-1st] (1 point) ⚪ √2 ⚪ 1 0 ⚪ -1 250. 12, 5 13 - [MCQ : Pramanik-1st] (1 point) ⚪ 0 ⚪ π/4 π/2 ⚪ π 251. ? [MCQ : Pramanik-1st] (1 point) → P = → Q → P × ( → Q × → P ) → A → B → A = 2 ˆi + 2 ˆj − ˆk, → B = 6 ˆi − 3 ˆj + 2 ˆk → A → B → A = ˆi, → B = ˆj → A . → B → A , → B , → C → A + → B = → C → A → B → B → A
cos ⚪ cos ⚪ sin ⚪ sin 252. ? [MCQ : Pramanik-1st] (1 point) ⚪ 36 ⚪ 30 ⚪ 6 0 253. - i. ii. iii. ? [MCQ : Pramanik-1st] (1 point) i ও ii ⚪ i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 254. - i. XY ii. YZ iii. XZ ? [MCQ : Pramanik-1st] (1 point) ⚪ i ও ii ⚪ i ও iii ⚪ ii ও iii i, ii ও iii 255. - i. ii. iii. ? [MCQ : Pramanik-1st] (1 point) → A = 9ˆi + ˆj − 6kˆ, → B = 4 ˆi − 6 ˆj + 5 ˆk 2 ˆi + ˆj, 2 ˆj + 3 ˆk, 2 ˆi + 3 ˆk,
i ও ii ⚪ i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 256. - i. ii. iii. ? [MCQ : Pramanik-1st] (1 point) i ও ii ⚪ ii ও iii ⚪ i ও iii ⚪ i, ii ও iii 257. - i. ii. iii. ? [MCQ : Pramanik-1st] (1 point) i ও ii ⚪ i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 258. - i. ii. iii. = 2 /3 ? [MCQ : Pramanik-1st] (1 point) ⚪ i ও ii ⚪ i ও iii ⚪ ii ও iii i, ii ও iii → →= 5 ˆ,% →= ˆ% 1 5 →= 2 ˆ%− ˆ&+ ˆ'; →= ˆ%+ 2 ˆ&+ 2 ˆ' →⋅ →= 2 ∣ ∣ ∣ → ∣ ∣ ∣ = 3 → →
259. - i. ii. = 90° iii. = 0° ? [MCQ : Pramanik-1st] (1 point) ⚪ i ও ii i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 260. - i. ii. iii. ? [MCQ : Pramanik-1st] (1 point) ⚪ i ও ii ⚪ i ও iii ⚪ ii ও iii i, ii ও iii 261. i. × ii. × iii. × ? [MCQ : Pramanik-1st] (1 point) ⚪ i ও ii i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 262. ? [MCQ : Pramanik-1st] (1 point) পূর্ব দির্ব কে →× →= 0 →, → →. →. →. →⋅ →= → → → → → → → → → → → →× →
⚪ নিচের দিকে ⚪ পশ্চিম দিকে ⚪ উপরের দিকে 263. - [MCQ : Pramanik-1st] (1 point) উত্তর মেরুতে হয় ⚪ দক্ষিণ মেরুতে হয় ⚪ বিষুব রেখার উপর হয় ⚪ 45° অক্ষাংশে হয় 264. 10 kg ? [MCQ : Pramanik-1st] (1 point) ⚪ ⚪ → → →⋅ → →
⚪ 265. 10 kg 10 m·s-2 ? [MCQ : Pramanik-1st] (1 point) ⚪ 50 N 100 /√3 N ⚪ 100 N ⚪ 200 /√3 N 266. 4 5 60° - [MCQ : Pramanik-1st, D.B-21] (1 point) ⚪ 0 একক ⚪ 1 একক 10 একক ⚪ 100 একক 267. ? [MCQ : Pramanik-1st, D.B-21] (1 point) ⚪ ⚪ ⚪ 268. , ? (1 point) → →1 →2 ∣ ∣ ∣ →1 ∣ ∣ ∣ + ∣ ∣ ∣ →2 ∣ ∣ ∣ →1× →2 →1⋅ →2 ∣ ∣ ∣ →1 ∣ ∣ ∣ − ∣ ∣ ∣ →2 ∣ ∣ ∣ →= ˆ%+ ˆ&+ ˆ' →= 2 ˆ%+ 2 ˆ&+ 2 ˆ' → →
[MCQ : Pramanik-1st, Md.B-21] ⚪ 1/√3 √3 ⚪ 2√3 ⚪ 2/√3 269. ? [MCQ : Pramanik-1st, Md.B-21] (1 point) ⚪ ⚪ ⚪ 270. YZ ? [MCQ : Pramanik-1st, R.B-21] (1 point) ⚪ √5 ⚪ √10 √13 ⚪ √14 271. - [MCQ : Pramanik-1st, Di.B-21] (1 point) ⚪ বিপরীত ভেক্টর ⚪ বিপ্রতীপ ভেক্টর বিসদৃশ ভেক্টর ⚪ সদৃশ ভেক্টর 272. - [MCQ : Pramanik-1st, Di.B-21] (1 point) ⚪ 9 একক 13 একক ⚪ 18 একক ⚪ 36 একক 273. - [MCQ : Pramanik-1st, Ch.B-21] (1 point) ⚪ → = 5 ˆ −5ˆ ˆ 1 5 5 1 ˆ 1 5ˆ → = ˆ + 2 ˆ − 3 ˆ 3 ˆ − 4 ˆ + 12 ˆˆ ∣ ∣ ∣ → × →∣ ∣ ∣ 2 + ∣ ∣ ∣ → ⋅ →∣ ∣ ∣ 2 ∣ ∣ ∣ →∣ ∣ ∣ 2 + ∣ ∣ ∣ →∣ ∣ ∣ 2
⚪ ⚪ 274. m ? [MCQ : Pramanik-1st, Ch.B-21] (1 point) ⚪ 15 -15 ⚪ 16 ⚪ -16 275. √3 ? [MCQ : Pramanik-1st, S.B-21] (1 point) ⚪ 0° ⚪ 45° 60° ⚪ 90° 276. ? [MCQ : Pramanik-1st, S.B-21] (1 point) ⚪ একই ভেক্টরকে দুবা দু র নিলে গুণফল শুন্য হয় পরস্পর লম্ব দুটি ভেক্টরের গুণফল শুন্য হয় ⚪ পরস্পর সমান্তরাল দুটিদু ভেক্টরের গুণফল শুন্য হয় ⚪ একই ভেক্টরকে দুবা দু র নিলে মধ্যবর্তী কোণ শুন্য হয় 277. X- - [MCQ : Pramanik-1st, J.B-21] (1 point) ⚪ ⚪ ⚪ 278. - [MCQ : Pramanik-1st, B.B-21] (1 point) ⚪ 0° ∣ ∣ ∣ →∣ ∣ ∣ 2 ⋅ ∣ ∣ ∣ →∣ ∣ ∣ 2 ∣ ∣ ∣ →2 + →∣ ∣ ∣ 2 ∣ ∣ ∣ → − →∣ ∣ ∣ 2 → = 5ˆ − 5ˆ + 3ˆ; → = 15ˆ + ˆ + 9 ˆ; →∥ ∥ → → → → × → → ˆ −2ˆ 4ˆ (ˆ + ˆ) ∣ ∣ ∣ → + →∣ ∣ ∣ = ∣ ∣ ∣ → − →∣ ∣ ∣ → →
⚪ 30° 90° ⚪ 180° 279. √18 √6 - [MCQ : Pramanik-1st, B.B-21] (1 point) ⚪ 120° ⚪ 90° ⚪ 60° 30° 280. OY ? [MCQ : Pramanik-1st, R.B-15] (1 point) ⚪ 0.8 N ⚪ 1.25 N 3 N ⚪ 20 N 281. A B 10 km·h-1 20 km·h-1 A B ? [MCQ : Pramanik-1st, B.B-15] (1 point) 10 km·h-1 সামনের দিকে ⚪ 20 km·h-1 সামনের দিকে ⚪ 20 km·h-1 পিছনের দিকে ⚪ 30 km·h-1 সামনের দিকে 282. ? [MCQ : Pramanik-1st, Di.B-16] (1 point) ⚪ গ্রাডিয়েন্ট ডাইভারজেন্স ⚪ কার্ল ⚪ সরণ 283. ? [MCQ : Pramanik-1st, J.B-16] (1 point)
সলিনয়ডাল ⚪ অঘূর্ণনর্ণশীল ⚪ ডেল অপারেটর ⚪ ঘূর্ণনর্ণশীল 284. ? [MCQ : Pramanik-1st, B.B-17] (1 point) ⚪ সমতলীয় ভেক্টর ⚪ সমরেখ ভেক্টর সম-প্রারম্ভিক ভেক্টর ⚪ সীমাবদ্ধ ভেক্টর 285. - [MCQ : Pramanik-1st, C.B-16] (1 point) ⚪ ⚪ ⚪ 286. - [MCQ : Pramanik-1st, R.B-21, S.B-21, J.B-21, Ch.B-16] (1 point) ⚪ স্বাধীন ভেক্টর ⚪ বিপরীত ভেক্টর ⚪ সমরেখ ভেক্টর নাল ভেক্টর 287. ? [MCQ : Pramanik-1st, B.B-21, C.B-17] (1 point) শুন্য ভেক্টর ⚪ সমান ভেক্টর ⚪ বিপরীত ভেক্টর ⚪ বিপ্রতীপ ভেক্টর 288. ? [MCQ : Pramanik-1st, R.B-16] (1 point) ⚪ → , → → = 4ˆ, → = ˆ 1 4 → = 4ˆ, → = 8ˆ → = 8ˆ, → = 4ˆ → = 4ˆ, → = 4ˆ → , → → . →
⚪ ⚪ 289. - ? [MCQ : Pramanik-1st, J.B-19] (1 point) ⚪ ⚪ ⚪ 290. - [MCQ : Pramanik-1st, R.B-16] (1 point) 0 ⚪ 1 ⚪ ⚪ 2 291. ? [MCQ : Pramanik-1st, Di.B-16] (1 point) /4 ⚪ /2 ⚪ ⚪ 2 292. ? (1 point) ∣ ∣ ∣ → × →∣ ∣ ∣ ∣ ∣ ∣ → × →∣ ∣ ∣ 1 2 ( → . → ) 1 2 = → × → ∣ ∣ ∣ → × →∣ ∣ ∣ → × → ∣ ∣ ∣ → × →∣ ∣ ∣ → × → ∣ ∣ ∣ → × →∣ ∣ ∣ ∣ ∣ ∣ → × →∣ ∣ ∣ → × → ∣ ∣ ∣ → × →∣ ∣ ∣ → × → → → ∣ ∣ ∣ → × →∣ ∣ ∣ = → . → ,
[MCQ : Pramanik-1st, S.B-19] ⚪ ⚪ ⚪ 293. ? [MCQ : Pramanik-1st, Di.B-16] (1 point) ⚪ ⚪ ⚪ 294. ? [MCQ : Pramanik-1st, J.B-16] (1 point) ⚪ ⚪ ⚪ 295. △ABC ? [MCQ : Pramanik-1st, Di.B-19] (1 point) ⚪ ⚪ ⚪ 296. ABC ? (1 point) → + → + → = 0 → = → + → → = → + → → = → + → → , → , → → + → − → = 0 → − → − → = 0 → − → + → = 0 → + → + → = 0 → → −−→ − −−→ = −−→ −−→ − −−→ = −−→ −−→ + −−→ = −−→ −−→ − −−→ = −−→ → →
[MCQ : Pramanik-1st, R.B-15] ⚪ 0° ⚪ 60° 120° ⚪ 180° 297. ? [MCQ : Pramanik-1st, B.B-19] (1 point) 0 ° ⚪ 90° ⚪ 180° ⚪ 270° 298. ? [MCQ : Pramanik-1st, Di.B-15] (1 point) ⚪ 90° ⚪ 0 ° 180° ⚪ 45° 299. ? [MCQ : Pramanik-1st, J.B-19] (1 point) ⚪ ( ) ⚪ ( ) ( ) ⚪ ( ) 300. = (10 + 4 2 ) 3 ? [MCQ : Pramanik-1st, R.B-17] (1 point) ⚪ 34 m·s-2 ⚪ 34 m·s-1 ⚪ 24 m·s-1 24 m·s-2 301. ? [MCQ : Pramanik-1st, Ch.B-16] (1 point) ⚪ → , → → = → × → → = → × → → → → = 4 ˆ + 3 ˆ 3ˆ + 4ˆ
⚪ ⚪ 302. ? [MCQ : Pramanik-1st, C.B-15] (1 point) ⚪ ⚪ একে অপরের উপর লম্ব ⚪ পরস্পর সমান্তরাল 303. - [MCQ : Pramanik-1st, Ch.B-19] (1 point) ⚪ ⚪ 0 ⚪ 1 304. 6 N 6 N - [MCQ : Pramanik-1st, All.B-18] (1 point) ⚪ 0.8 N 3 N ⚪ 9 N ⚪ 11.2 N 305. ? [MCQ : Pramanik-1st, Di.B-19] (1 point) 6ˆ 5 ˆ 4ˆ → ⋅ → = 0 → = 0 → = 0 → , → → , → (ˆ + ˆ) ⋅ ˆ ˆ ˆ → → → ⋅ →
⚪ ⚪ ⚪ 306. - [MCQ : Pramanik-1st, All.B-18] (1 point) ⚪ ⚪ ⚪ 307. XZ ? [MCQ : Pramanik-1st, D.B-17] (1 point) 5 ⚪ √34 ⚪ √41 ⚪ 12 308. - [MCQ : Pramanik-1st, D.B-15] (1 point) ⚪ ⚪ ⚪ 309. ? [MCQ : Pramanik-1st, R.B-15] (1 point) ⚪ → × → → ⋅ → → × → −→ → −→ × → ∣ ∣ ∣ −→ × →∣ ∣ ∣ −→ . → ∣ ∣ ∣ −→ × →∣ ∣ ∣ −→ × → ∣ ∣ ∣ −→ . →∣ ∣ ∣ ∣ ∣ ∣ −→ × →∣ ∣ ∣ −→ × → 3 ˆ + 5 ˆ + 4 ˆ ˆ ˆ (ˆ × ˆ) (ˆ × ˆ) (ˆ × ˆ) (ˆ × ˆ) = →
⚪ ⚪ 310. ? [MCQ : Pramanik-1st, Di.B-15] (1 point) ⚪ 9 7 ⚪ 49 ⚪ √7 311. ? [MCQ : Pramanik-1st, D.B-16] (1 point) 8 ⚪ 6 ⚪ 4 ⚪ -4 312. YZ ? [MCQ : Pramanik-1st, Ch.B-16] (1 point) √25 ⚪ √34 ⚪ √41 ⚪ √50 313. ? [MCQ : Pramanik-1st, D.B-19] (1 point) x = 3, y = 4 ⚪ x = 4, y = 3 ⚪ x = 6. y = 2 ⚪ x = 12, y = 1 314. ? [MCQ : Pramanik-1st, Di.B-21, D.B-15] (1 point) ⚪ 9 -11 = → → = → = → → = 3 ˆ + 2 ˆ − 6 ˆ → = 4 ˆ + ˆ, → = 8 ˆ − 4 ˆ + 9 ˆ 5 ˆ + 3 ˆ + 4 ˆ → = 2 ˆ + ˆ − 4 ˆ, → = ˆ + 6 ˆ − 8 ˆ; → , → → = 3 ˆ − 2 ˆ + ˆ, → = 6 ˆ − ˆ + 4 ˆ
⚪ 12 ⚪ 13 315. p ? [MCQ : Pramanik-1st, Ch.B-19] (1 point) ⚪ -4 ⚪ -1 4 ⚪ 5 316. , ? [MCQ : Pramanik-1st, R.B-15] (1 point) ⚪ 0° ⚪ 45° 90° ⚪ 180° 317. ? [MCQ : Pramanik-1st, Ch.B-19, Ch.B-15] (1 point) ⚪ 180° ⚪ 90° ⚪ 45° 0° 318. ? [MCQ : Pramanik-1st, B.B-15] (1 point) ⚪ 0° ⚪ 45° ⚪ 90° 180° 319. ? [MCQ : Pramanik-1st, D.B-21, B.B-15] (1 point) ⚪ 1 ⚪ ⚪ → = 2 ˆ + 5 ˆ − ˆ, → = ˆ − ˆ + 3 ˆ, → → ∣ ∣ ∣ → + →∣ ∣ ∣ = ∣ ∣ ∣ → − →∣ ∣ ∣ (ˆ + ˆ) × ˆ = ˆ ˆ ˆ
320. , ? [MCQ : Pramanik-1st, S.B-19] (1 point) ⚪ 3 √3 ⚪ 1 ⚪ -1 321. ? [MCQ : Pramanik-1st, D.B-16] (1 point) ⚪ cos cos ⚪ sin ⚪ sin 322. ? [MCQ : Pramanik-1st, S.B-16] (1 point) ⚪ - 2 ⚪ 1 ⚪ - 2 0 323. ? [MCQ : Pramanik-1st, B.B-16] (1 point) ⚪ ক্রস গুণন ⚪ ডট গুণন গ্রাডিয়েন্ট ⚪ ডাইভারজেন্স 324. ? [MCQ : Pramanik-1st, B.B-15] (1 point) কাজ ⚪ বল ⚪ টর্ক ⚪ কৌণিক ভরবেগ 325. θ - (1 point) → = ˆ − ˆ − ˆ → → → → = − → → × → → → → →
[MCQ : Pramanik-1st, C.B-19] ⚪ A sinθ ⚪ A cosθ ⚪ B sinθ B cosθ 326. ? [MCQ : Pramanik-1st, B.B-15] (1 point) ⚪ ⚪ sin ⚪ 327. Y- - [MCQ : Pramanik-1st, Di.B-17] (1 point) ⚪ 0° ⚪ 45° 90° ⚪ 180° 328. ? [MCQ : Pramanik-1st, Ch.B-15] (1 point) ⚪ ⚪ ⚪ 329. - [MCQ : Pramanik-1st, Di.B-21, S.B-15] (1 point) 0° ⚪ 45° ⚪ 90° ⚪ 180° → × → = ˆ cos − → × → → × → ¯ = 4 ˆ − 4 ˆ → . → = cos ∣ ∣ ∣ → × →∣ ∣ ∣ = sin → × → = sin → . → = sin
330. ? [MCQ : Pramanik-1st, J.B-17] (1 point) ⚪ 45° ⚪ 60° 90° ⚪ 120° 331. , ? [MCQ : Pramanik-1st, S.B-15] (1 point) ⚪ 3 ⚪ 7 ⚪ 9 11 332. X- ? [MCQ : Pramanik-1st, S.B-15] (1 point) ⚪ ⚪ ⚪ 333. ? [MCQ : Pramanik-1st, R.B-21, J.B-15] (1 point) ⚪ 0 ⚪ ⚪ 334. = [MCQ : Pramanik-1st, B.B-17] (1 point) ⚪ 2 ⚪ 4 ⚪ 3 -4 335. - [MCQ : Pramanik-1st, B.B-19] (1 point) ⚪ ভেক্টর ক্ষেত্র → = 2 ˆ + ˆ − 3 ˆ → = 4 ˆ − ˆ (ˆ + ˆ) × ˆ (ˆ × ˆ) × ˆ (ˆ × ˆ) × ˆ (ˆ × ˆ) × ˆ ˆ × (ˆ × ˆ) = −ˆ ˆ ˆ → = ( + )ˆ + ( − 2 )ˆ + ( + 3 )ˆ
স্কেলার ক্ষেত্র ⚪ ঐ ভেক্টরের নতিমাত্রা ⚪ অঘূর্ণনর্ণশীল 336. ? [MCQ : Pramanik-1st, D.B-16] (1 point) ⚪ ⚪ ⚪ 337. , X 30° Y 3 X ? [MCQ : Pramanik-1st, R.B-16] (1 point) ⚪ 3/2 একক ⚪ 3 একক 3√3 একক ⚪ 6 একক 338. ? [MCQ : Pramanik-1st, Di.B-16] (1 point) ⚪ 25.12° 26.57° ⚪ 90.67° ⚪ 180.25° 339. ( ) = 3 2 , (1, -2) [MCQ : Pramanik-1st, S.B-16] (1 point) ⚪ ⚪ ⚪ 340. ? [MCQ : Pramanik-1st, C.B-15] (1 point) −→ ∇ × → = 0 −→ ∇ . → = 0 −→ ∇ . → = ' + ' −→ ∇ . → = ' − ' → → = ˆ, → = 2ˆ + ˆ, → → −→ ∇ −6ˆ − 3ˆ −12ˆ + 3ˆ 3ˆ + 6ˆ 6ˆ − 12ˆ → = ˆ + ˆ + ˆ −→ ∇ . → =
⚪ 1 ⚪ 2 3 ⚪ 4 341. ? [MCQ : Pramanik-1st, J.B-19] (1 point) ⚪ ⚪ ⚪ 342. - [MCQ : Pramanik-1st, C.B-15, J.B-15] (1 point) ⚪ ⚪ ⚪ 343. , ? [MCQ : Pramanik-1st, C.B-15] (1 point) ⚪ ⚪ ⚪ 344. , θ - i. θ = 180° ii. θ = 0° iii. θ = 90° ? [MCQ : Pramanik-1st, D.B-21] (1 point) ⚪ i ও ii ⚪ i ও iii ii ও iii ⚪ i, ii ও iii → −→ ∇ . → = 0 −→ ∇ × → = 0 −→ ∇ . → ≠ 0 −→ ∇ × → ≠ 0 → −→ ∇ × → = 0 −→ ∇ . → = 0 −→ ∇ → = 0 −→ ∇ + → = 0 → = 3 ˆ − 4 ˆ + 2 ˆ → = 6 ˆ + 2 ˆ − 3 ˆ → × → 18ˆ + 21ˆ + 30 ˆ 8ˆ + 21ˆ + 18ˆ 8ˆ + 3ˆ + 30 ˆ 8ˆ + 21ˆ + 30ˆ
345. - i. ii. iii. Px /Qx=Py /Qy=Pz /Qz ? [MCQ : Pramanik-1st, R.B-21] (1 point) ⚪ i ও ii ⚪ i ও iii ii ও iii ⚪ i, ii ও iii 346. - i. ii. iii. ? [MCQ : Pramanik-1st, Ch.B-21] (1 point) ⚪ i ও ii ⚪ i ও iii ⚪ ii ও iii i, ii ও iii 347. - i. ii. iii. ? [MCQ : Pramanik-1st, J.B-21] (1 point) ⚪ ii i ও ii ⚪ ii ও iii ⚪ i, ii ও iii 348. - i. ii. iii. ? (1 point) → → → . → = 0 → × → = 0 → = 9 ˆ → = ˆ 1 9 −→ ∇ . → = 0
[MCQ : Pramanik-1st, C.B-16] ⚪ i ও ii ⚪ i ও iii ⚪ ii ও iii i, ii ও iii 349. - i. √13 ii. XY iii. Z 90° ? [MCQ : Pramanik-1st, S.B-16] (1 point) ⚪ i ও ii ⚪ i ও iii ⚪ ii ও iii i, ii ও iii 350. - i. ii. iii. ? [MCQ : Pramanik-1st, J.B-16] (1 point) ⚪ i ও ii i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 351. - i. ii. iii. ? [MCQ : Pramanik-1st, Di.B-15] (1 point) ⚪ i ও ii ⚪ i ও iii ⚪ ii ও iii i, ii ও iii 352. - (1 point) 2 ˆ + 3 ˆ ˆ, ˆ, ˆ ˆ. ˆ = ˆ. ˆ = ˆ. ˆ = 0 ˆ. ˆ = ˆ. ˆ = ˆ. ˆ = 1 ˆ × ˆ = ˆ × ˆ = ˆ × ˆ = 0 → →
i. ii. iii. ? [MCQ : Pramanik-1st, Ch.B-15] ⚪ i ও ii ⚪ ii ও iii i ও iii ⚪ i, ii ও iii 353. - i. ii. iii. 0° ? [MCQ : Pramanik-1st, D.B-17] (1 point) i ও ii ⚪ i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 354. - i. ii. iii. ? [MCQ : Pramanik-1st, R.B-19] (1 point) i ও ii ⚪ ii ও iii ⚪ i ও iii ⚪ i, ii ও iii 355. - i. ii. iii. ? (1 point) → + → = 0 → . → = 0 → × → = 0 → . → = − → , → → , → → , → → , → → . → = 0 → × → = 0 ∣ ∣ ∣ →∣ ∣ ∣ + ∣ ∣ ∣ →∣ ∣ ∣ = +
[MCQ : Pramanik-1st, R.B-19] ⚪ i ⚪ i ও ii ii ও iii ⚪ i ও iii 356. - i. ii. iii. ? [MCQ : Pramanik-1st, D.B-19] (1 point) ⚪ i ও ii i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 357. - i. ii. iii. ? [MCQ : Pramanik-1st, J.B-17] (1 point) i ও ii ⚪ i ও iii ⚪ ii ও iii ⚪ i, ii ও iii 358. ? [MCQ : Pramanik-1st, D.B-21] (1 point) √19 ⚪ 6 ⚪ 9 ⚪ 19 359. ? (1 point) → , → → 1, → 2 → 1 = − → 2 ∣ ∣ ∣ → 1 ∣ ∣ ∣ = ∣ ∣ ∣ → 2 ∣ ∣ ∣ → 1 ⋅ → 2 = 1 2 → = 2 ˆ + ˆ + ˆ → = ˆ + 2 ˆ − 2 ˆ → = 2 ˆ + ˆ + ˆ → = ˆ + 2 ˆ − 2 ˆ → →
[MCQ : Pramanik-1st, D.B-21] ⚪ ⚪ ⚪ 360. ? [MCQ : Pramanik-1st, J.B-17] (1 point) ⚪ ⚪ ⚪ 361. ABCD ? [MCQ : Pramanik-1st, J.B-17] (1 point) 0.5 একক ⚪ 1.0 একক ⚪ 1.5 একক ⚪ 2.0 একক ˆ + ˆ − ˆ 1 2 1 2 1 6 ˆ + ˆ − ˆ 3 √19 3 √19 1 √19 ˆ + ˆ − ˆ 1 3 1 3 1 9 ˆ + ˆ − ˆ 3 19 3 19 1 19 −−→ = ˆ −−→ = ˆ −−→ (ˆ + ˆ)/4 (ˆ − ˆ)/2 (ˆ + ˆ)/2 (ˆ − ˆ)/2 −−→ = ˆ −−→ = ˆ
362. ? [MCQ : Pramanik-1st, B.B-16] (1 point) ⚪ ⚪ ⚪ 363. OABC ? [MCQ : Pramanik-1st, B.B-16] (1 point) ⚪ 1/√2 √2 ⚪ 2 ⚪ 2√2 364. x y x y ? [MCQ : Pramanik-1st, C.B-16] (1 point) 45° ⚪ 90° ⚪ 120° ⚪ 150° −−→ ˆ + ˆ ˆ + ˆ ˆ + ˆ ˆ + ˆ + ˆ →
365. x y 0° 90° x y ? [MCQ : Pramanik-1st, C.B-16] (1 point) x কমবে, y বাড়বে ⚪ x বাড়বে, y কমবে ⚪ x বাড়বে, y বাড়বে ⚪ x কমবে, y কমবে 366. AB CD O ? [MCQ : Pramanik-1st, J.B-15] (1 point) ⚪ 10.22 ⚪ 10.52 11.22 ⚪ 11.52 367. AB CD O ? [MCQ : Pramanik-1st, J.B-15] (1 point) → → 1 → 2 → 1 → 2 → 1 → 2
⚪ OP বরাবর নৌকাটি অগ্রসর হবে ⚪ OQ বরাবর নৌকাটি অগ্রসর হবে ⚪ নৌকাটি খালের মাঝে স্থির থাকবে খালের মাঝ বরাবর নৌকাটি অগ্রসর হবে 368. a ? [MCQ : Pramanik-1st, DU : 20-21] (1 point) -1 ⚪ 7/4 ⚪ 0 ⚪ 2 369. ? [MCQ : Pramanik-1st, DU : 19-20] (1 point) 60° ⚪ 30° ⚪ 45° ⚪ 90° 370. , =? [MCQ : Pramanik-1st, NSTU : 19-20, JU : 18-19] (1 point) ⚪ 1 ⚪ 9 3 ⚪ 4 371. ? [MCQ : Pramanik-1st, CU : 19-20] (1 point) 9 ⚪ 24 ⚪ 5 ⚪ 9xyz 372. ? [MCQ : Pramanik-1st, MAT : 18-19] (1 point) ⚪ ⚪ ⚪ → = 2 ˆ + 2 ˆ − ˆ → = ˆ + ˆ → = 3ˆ − 3ˆ → = 5ˆ + 5 ˆ → = ˆ + ˆ + ˆ −→ ∇ . → → = 3 ˆ + 2 ˆ + 4 ˆ ¯¯¯ ¯¯¯ + ¯¯¯ = ¯¯¯ ⋅ ¯¯¯ + ¯¯¯ ⋅ ¯¯¯ ¯¯¯ + ¯¯¯ = ¯¯¯ + ¯¯¯ ¯¯¯ + ¯¯¯ + ¯¯¯ = ¯¯¯ + ¯¯¯ + ¯¯¯ ¯¯¯ + ¯¯¯ = ¯¯¯ − ¯¯¯
373. ? [MCQ : Pramanik-1st, KU : 19-20] (1 point) কাজ ⚪ বল ⚪ টর্ক ⚪ কৌণিক ভরবেগ 374. 7kg N , , ? [MCQ : Pramanik-1st, BUET : 13-14] (1 point) ⚪ 1.4 m/s2 ⚪ 1.57 m/s2 1.0 m/s2 ⚪ 7.0 m/s2 375. 30° 19.6 N - [MCQ : Pramanik-1st, BUET : 10-11] (1 point) ⚪ √3 kg ⚪ 19.6 kg 1 kg ⚪ 9.8 kg 376. 5 km/hr 12 km/hr ? [MCQ : Pramanik-1st, BUET : 05-06] (1 point) ⚪ 17 km/hr 13 km/hr ⚪ 60 km/hr ⚪ 7 km/hr 377. 4, 3 5, - [MCQ : Pramanik-1st, DU : 18-19] (1 point) ⚪ 12 60 ⚪ 25 ⚪ 15 → = 2 ˆ − 3 ˆ + 6 ˆ ˆ, ˆ, ˆ →, → , → → + → + → = 0 ∣ ∣ ∣ → × (→ × → ) ∣ ∣ ∣
378. ? [MCQ : Pramanik-1st, DU : 18-19, JU : 17-18, BSMRSTU : 17-18, NSTU : 17-18, BUTEX : 15-16, BU : 15-16, BU : 14-15, RU : 14-15, RU : 15-16] (1 point) ⚪ 0° ⚪ 90° 120° ⚪ 180° 379. 12, 15 13 ? [MCQ : Pramanik-1st, DU : 17-18] (1 point) π/2 ⚪ π/3 ⚪ π/4 ⚪ π/6 380. , ? [MCQ : Pramanik-1st, DU : 17-18, RU : 15-16] (1 point) 20 J ⚪ 30 J ⚪ 10 J ⚪ 40 J 381. [MCQ : Pramanik-1st, DU : 15-16] (1 point) 2√2 ⚪ 1 ⚪ √2 ⚪ 4√2 382. a ? [MCQ : Pramanik-1st, DU : 06-07, DU : 02-03, CU : 14-15, CU : 12-13, SUST : 07-08, KUET : 10-11, JU : 17-18] (1 point) ⚪ 0 ⚪ -1 ⚪ 1 -2 → , → , → → + → = → → → → = (10ˆ + 10ˆ − 10 ˆ) → = (2 ˆ + 2 ˆ + 2 ˆ) → = ˆ − ˆ + ˆ, → = ˆ + ˆ − ˆ → = ˆ − 3 ˆ + 5 ˆ → = ˆ + 6 ˆ − 10 ˆ
383. , - [MCQ : Pramanik-1st, DU : 05-06, RU : 13-14, SUST : 14-15] (1 point) ⚪ -A2 0 ⚪ -B2 ⚪ 1 384. - [MCQ : Pramanik-1st, JU : 15-16] (1 point) ⚪ ⚪ ⚪ কোনটিই নয় 385. , = ? [MCQ : Pramanik-1st, JU : 14-15] (1 point) ⚪ √114 √246 ⚪ √110 ⚪ √240 386. 18 6√3 ? [MCQ : Pramanik-1st, SUST : 14-15] (1 point) ⚪ 20° ⚪ 25° 30° ⚪ 35° 387. √2 [MCQ : Pramanik-1st, SUST : 07-08] (1 point) ⚪ 120° ⚪ 130° 135° ⚪ 65° 388. (Vector Quantity) ? (1 point) → = − → → × → [ → + → ] = [ → − → → , → → × → = 0 → . → = 0 → = → → = ˆ + 2ˆ + ˆ, → = 3ˆ + ˆ − 4 ˆ ∣ ∣ ∣ 2→ − 3 →∣ ∣ ∣ → , →
[MCQ : Pramanik-1st, JnU : 15-16] ⚪ ⚪ কোনটিই নয় ⚪ A ও B উভয়ই 389. - [MCQ : Pramanik-1st, JnU : 14-15] (1 point) ⚪ বরাবর ⚪ বরাবর উভয়ের লম্ব বরাবর ⚪ উভয়ের সমান্তরাল বরাবর 390. φ [MCQ : Pramanik-1st, RU : 17-18] (1 point) ⚪ ⚪ ⚪ কোনোটিই নয় 391. ' 7 N 1 N 90° - [MCQ : Pramanik-1st, RU-C1 : 16-17, CoU : 08-09] (1 point) ⚪ 8 N ⚪ 6 N 5 N ⚪ 4 N 392. ? [MCQ : Pramanik-1st, CU : 18-19, PUST : 15-16] (1 point) ⚪ 0 ⚪ π/3 ⚪ π/4 π/2 393. ? (1 point) → × → = → × → → × → = − → × → → , → , → → = → × → → → → → , → → , → −→ ∇ × ( → ) = ? ( −→ ∇ ) × → + ( −→ ∇ × → ) −→ ∇ × → −→ ∇ ⋅ ( × → ) ∣ ∣ ∣ → + →∣ ∣ ∣ = ∣ ∣ ∣ → − →∣ ∣ ∣ → → ˆ − ˆ ˆ + ˆ
[MCQ : Pramanik-1st, BSMRSTU : 18-19] ⚪ 0° ⚪ 60° 120° ⚪ 80° 394. m ? [MCQ : Pramanik-1st, BSMRSTU : 18-19] (1 point) ⚪ 10 ⚪ 30 ⚪ 20 22 → = 2 ˆ + 3 ˆ − 5 ˆ, → = ˆ + 2 ˆ + 10 ˆ