Press OPERATOR SHIFT VCT Vct 3 VECTOR NAME B(2) DISPLAY VctB SHIFT VCT Vct 3 VECTOR NAME A(1) DISPLAY VctA Vct A x Vct B DISPLAY ANSWERS Vct Ans1 = 44 Vct Ans2 = 76 Vct Ans3 = 21 44i 76 j 21k OP OQ Use your cursor keys to move in order to view each elements for the answers. 94
Find the magnitude for the vector THE MAGNITUDE OF VECTORS A 2 1 1 AB When use the different vector, then create the new vector. Example: 95
CREATING A VECTOR Vct A(m) m ? SHIFT VCT Dim 1 VECTOR NAME A(1) DIMENSION m : Dimension of Vector ELEMENT OF VECTOR Dimension of vector: 3 2 1 1 AB VctA1 VctA2 VctA3 96
SHIFT Abs SHIFT VCT Vct 3 VECTOR NAME A(1) DISPLAY VctA Abs Vct A DISPLAY DISPLAY Abs 2.4495 Magnitude of vector AB, 2.4495 AB Press Answer: 97
Find the vector unit for the vector THE VECTOR UNITS B 5 1 4 PQ When use the different vector, then create the new vector. Example: 98
CREATING A VECTOR Vct B(m) m ? SHIFT VCT Dim 1 VECTOR NAME B(2) DIMENSION m : Dimension of Vector ELEMENT OF VECTOR VctB1 VctB2 VctB3 Dimension of vector: 3 5 1 4 PQ 99
Vct B ÷ Abs Vct B DISPLAY Press SHIFT Abs DISPLAY Abs SHIFT VCT Vct (3) VECTOR NAME , B(2) DISPLAY VctB SHIFT VCT Vct (3) VECTOR NAME , B(2) DISPLAY VctB OPERATOR ANSWERS Vct Ans1 = 0.6172 Vct Ans2 = -0.1543 Vct Ans3 = 0.7715 Use your cursor keys to move in order to view each elements for the answers. 0.7715 - 0.1543 0.6172 0.6172i - 0.1543j 0.7715k @ Unit Vector of vector PQ 100
CALCULATOR’S RESET 101
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EXERCISE BASIC MATHEMATICS Calculate x for the following equation: 2 − 3 − 10 = 0 Calculate x for the following equation: 6 2 + 5 − 4 = 0 Calculate x and y for the following equations: 2 + = 1 − 4 = 5 Calculate x , y and z for the following equations: 3 − 2 + 4 = 5 −1 + 0 + 3 = −2 2 + 1 + 5 = 1 ANSWER: =5 & x=-2 ANSWER: =1 & y=-1 ANSWER: = 1/2 & x=-4/3 ANSWER: = 1/2 & = −4/3 103
EXERCISE COMPLEX NUMBER Simplify −2 − 4 + 3 + 5 in the form of a+bi Simplify 1 + 3 − −2 − in the form of a+bi Simplify 2i 1 + 3 in the form of a+bi Simplify 5 − 2 −1 − 7 in the form of a+bi Simplify 3+ −1−2 in the form of a+bi ANSWER: 1+ 1 ANSWER: − 6+ 2 ANSWER: 3+ 4 ANSWER: − 19− 33 ANSWER: − 1+ 1 104
Determine the conjugate of the complex number of = −2 − 5 Find the modulus of the complex number of = −4 + 3 Find the argument of the complex number of = 7 + 6 Express = −1 + 2 to the polar form. Express = 5∠300° to the Cartesian form. EXERCISE COMPLEX NUMBER ANSWER: 2.5− 4.33 ANSWER: 5 ANSWER: 40.6⁰ ANSWER: 2.236 ∠ 116.57⁰ ANSWER: − 2+ 5 105
EXERCISE VECTOR Given that = 2 + 3 − 7 and = − + + 2 , find + Given that = 6 − + 4 and = 3 + 2 − 2 , find − Given that = 2 + 3 − 7 and = − + + , find + 5 Given that = 5 − 2 + 3 and = − + , find − 2 Given that = 6 − + 4 , find 2 ANSWER: 1 + 4 − 5 ANSWER: −3 + 8 − 2 ANSWER: 3-3j+6k ANSWER:− 3 + 0 + 1 ANSWER: 12 − 2 + 8 106
EXERCISE VECTOR Given that = − 2 + and = 3 + + , find ∙ Given that = − + 3 and = + 2 + 3 , find 2 ∙ Given that = 2 − + 3 and = 4 + 2 − 2 , find × Given that = 2 − + 3 and = 4 + 2 − 2 , find 2 × Find the magnitude for the vector = 2 − + 2 ANSWER: 2 ANSWER: −4 + 16 + 8 ANSWER: 16 ANSWER: −8 + 32 + 16 ANSWER: 3 107
EXERCISE MATRICES Find the sum of following matrix below: −1 5 2 −4 + 3 −2 −1 1 Find the sum of following matrix below: 2 1 −3 2 −1 −1 3 + 5 1 −2 −1 3 2 −4 Solve the following matrix below: 1 2 −1 4 3 1 - 0 1 −3 1 2 −2 For the matrix = 0 −1 1 4 3 2 2 0 −5 , find 3 × Solve the following matrix below: 1 0 1 0 −2 3 3 −1 −2 0 5 4 ANSWER: 2 3 1 −3 ANSWER: 1 1 2 3 1 3 ANSWER: 7 −16 −1 13 8 −14 ANSWER: 0 −3 3 12 9 6 6 0 −15 ANSWER: 8 3 19 12 108
EXERCISE MATRICES Solve the following matrix below: 1 −1 1 −2 0 2 3 2 4 1 2 −1 For the matrix , find the determine matrix: 1 9 3 5 0 2 2 1 1 A For the matrix = 0 2 −3 −1 1 4 2 0 2 , find −1 For the matrix = 1 3 2 4 0 −1 1 −1 2 , find For the matrix = 1 3 0 2 −2 −1 and = 1 −1 0 2 3 −4 , find + ANSWER: −2 −4 3 ANSWER: 1/13 −2/13 11/26 5/13 3/13 3/26 −1/13 2/13 1/13 ANSWER: − 4 ANSWER: 1 4 1 3 0 −1 2 −1 2 ANSWER: 2 1 3 0 3 −5 109
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1 1 2 3 4 4 5 5 Solve all the mathematics questions below by using the Scientific Calculator Casio fx-570MS and then write the alphabet inside the puzzle space. PUZZLE SPACE 6 6 6 7 9 8 10 111
Question Answer 1. Simplify 3 2 − − −1 − 2 in the form of a+bi 2. Simplify 1+ 2+ in the form of a+bi 3. Find the modulus of the complex number of = −3 − 4 4. Express = 3∠100° to the Cartesian form: 5. Given that = 2 − 3 + and = 3 − 4 + 2 , find 5 − A 7 − B −7 − J I F E C D P O 3 5 + 1 5 3 5 − 1 5 25 5 −0.52 + 2.95 0.52 − 2.95 7 − 11 + 3 7 + 11 − 3 QUIZ 112
Question Answer 6. Given that = 2 + 3 − and = 3 − + 2 , find ∙ 7. Given that = 2 − + 3 and = 4 + 2 − 2 , find × 8. M 2 L 1 W V T S 2 −8 10 −10 −8 20 Solve the following matrix below: 4 1 −3 2 −1 −1 3 - 2 1 −2 −1 3 2 −4 −4 − 16 + 8 −4 + 16 + 8 2 −8 10 10 −8 20 QUIZ 113
Question Answer 9. 10. U Z Q R 21 −21 Solve the following matrix below: 1 2 −1 3 0 −2 1 3 −1 5 2 4 For the matrix , find the determine matrix: 1 5 3 3 6 2 1 2 1 A QUIZ 10 4 8 14 3 13 11 7 7 10 4 8 14 3 13 11 7 7 114
Bird, J. (2017). Higher Engineering Mathematics (7th Edition). UK. Routledge Casio fx-570MS User Manual. https://www.manualslib.com/products/Casio-Fx-570ms-182843.html Croft, A. and Davison, R. (2019). Mathematics for Engineers (5th Edition). Pearson Education. REFERENCES 115
Step By Step Guide To Using Scientific Calculator Casio fx-570MS For Polytechnic Students, can reduce students' mistakes and negligence in using scientific calculator while answering mathematic questions. This book has been designed to help students to increase students' knowledge in the use of scientific calculator and students can master the techniques of using scientific calculators correctly. Aside from that, the concepts, methods and notes are represented conveniently by using simple words. Drill and practice Exercises Questions are provided to help students expand the understanding in using scientific calculators for beyond teaching. Politeknik Sultan Idris Shah Sungai Lang, 45100, Sungai Air Tawar, Selangor Darul Ehsan Tel: 03-32806200 Fax: 03-32806400 Website: https://psis.mypolycc.edu.my/ FOR POLYTECHNIC STUDENTS SCIENTIFIC CALCULATOR CASIO fx-570MS STEP BY STEP GUIDE TO USING