Press SHIFT VECTOR Use your cursor keys
to move in order to
SHIFT VCT Vct NAME DISPLAY view each elements
for the answers.
3 A(1)
VctA
OPERATOR DISPLAY ANSWERS
Vct Ans1 = 44
Vct A x Vct B Vct Ans2 = 76
VECTOR Vct Ans3 = 21
VCT Vct NAME DISPLAY
3 B(2) OP OQ 44i 76 j 21k
VctB
94
THE MAGNITUDE OF VECTORS
Example: When use the
different vector,
Find the magnitude for the vector then create the
1 new vector.
AB 1
2
A
95
CREATING A 1 Dimension of
VECTOR AB 1 vector: 3
2
VECTOR DIMENSION ELEMENT OF VECTOR
SHIFT VCT Dim NAME m : Dimension of
VctA1
1 A(1) Vector
Vct A(m) m ?
VctA2
VctA3
96
Press SHIFT Abs DISPLAY
Abs DISPLAY
Abs Vct A 2.4495
VECTOR
SHIFT VCT Vct NAME DISPLAY
3 A(1) VctA
Answer:
Magnitude of vector AB,
AB 2.4495
97
THE VECTOR UNITS
Example: When use the
different vector,
Find the vector unit for the vector then create the
4 new vector.
PQ 1
5
B
98
CREATING A 4 Dimension of
VECTOR PQ 1 vector: 3
VECTOR 5 ELEMENT OF VECTOR
SHIFT VCT Dim NAME
DIMENSION
1 B(2) m : Dimension of
Vector
Vct B(m) m ? VctB1
VctB2
VctB3
99
Press SHIFT VCT Vct (3) VECTOR NAME , B(2) DISPLAY Use your cursor keys
to move in order to
VctB view each elements
for the answers.
OPERATOR DISPLAY
Vct B ÷ Abs Vct B ANSWERS
SHIFT Abs DISPLAY Vct Ans1 = 0.6172
Vct Ans2 = -0.1543
Abs Vct Ans3 = 0.7715
SHIFT VCT Vct (3) VECTOR NAME , B(2) DISPLAY Unit Vector of vector PQ
0.6172
VctB
0.6172i - 0.1543j 0.7715k @ - 0.1543
0.7715
100
CALCULATOR’S
RESET
101
102
EXERCISE BASIC MATHEMATICS
Calculate x for the following equation: Calculate x for the following equation:
2 − 3 − 10 = 0 6 2 + 5 − 4 = 0
ANSWER: ANSWER:
=5 & x=-2 = 1/2 & x=-4/3
Calculate x and y for the following equations: Calculate x , y and z for the following equations:
2 + = 1 3 − 2 + 4 = 5
− 4 = 5
−1 + 0 + 3 = −2
ANSWER:
=1 & y=-1 2 + 1 + 5 = 1 ANSWER:
= 1/2 & = −4/3
103
EXERCISE COMPLEX NUMBER
Simplify −2 − 4 + 3 + 5 in the form Simplify 1 + 3 − −2 − in the form of
of a+bi ANSWER: a+bi ANSWER:
1 + 1 3 + 4
Simplify 2i 1 + 3 in the form of a+bi Simplify 5 − 2 −1 − 7 in the form of
ANSWER: a+bi ANSWER:
− 6 + 2 − 19 − 33
Simplify 3+ in the form of a+bi
−1−2
ANSWER:
− 1 + 1
104
EXERCISE COMPLEX NUMBER
Determine the conjugate of the Find the modulus of the complex
complex number of = −2 − 5
number of = −4 + 3
ANSWER:
− 2 + 5 ANSWER:
5
Find the argument of the complex Express = −1 + 2 to the polar form.
number of = 7 + 6
ANSWER:
ANSWER: 2.236 ∠ 116.57⁰
40.6⁰
Express = 5∠300° to the Cartesian form.
ANSWER:
2.5 − 4.33
105
EXERCISE VECTOR
Given that = 2 + 3 − 7 and Given that = 6 − + 4 and
= − + + 2 , find + = 3 + 2 − 2 , find −
ANSWER: ANSWER:
1 + 4 − 5 3 -3j+6k
Given that = 2 + 3 − 7 and Given that = 5 − 2 + 3 and
= − + + , find + 5 = − + , find − 2
ANSWER: ANSWER:−
−3 + 8 − 2 3 + 0 + 1
Given that = 6 − + 4 , find 2
ANSWER:
12 − 2 + 8
106
EXERCISE VECTOR
Given that = − 2 + and Given that = − + 3 ANSWER:
= 3 + + , find ∙ and = + 2 + 3 , find 16
2 ∙
ANSWER: 2
Given that = 2 − + 3 and Given that = 2 − + 3 and
= 4 + 2 − 2 , find × = 4 + 2 − 2 , find 2 ×
ANSWER: ANSWER:
−4 + 16 + 8 −8 + 32 + 16
Find the magnitude for the vector ANSWER: 3
= 2 − + 2
107
EXERCISE MATRICES
Find the sum of following matrix below: Find the sum of following matrix below:
1 −3 1 −2
−1 5 3 −2 2 2 −1 + 5 −1 3 ANSWER:
2 −4 −1 1 7 −16
+ ANSWER: −1 3 2 −4
23 −1 13
1 −3 8 −14
0 −1 1
Solve the following matrix below: For the matrix = 4 3 2 ,
1 2 −1 - 0 1 −3 find 3 × 2 0 −5
4 3 1 1 2 −2
ANSWER: ANSWER:
112 0 −3 3
12 9 6
313 6 0 −15
Solve the following matrix below:
101 3 −1 ANSWER:
0 −2 3 83
−2 0
19 12
54
108
EXERCISE MATRICES
Solve the following matrix below: ANSWER: 2 1 1
−2 For the matrix A 5 0 2 ,
1 −1 1 1 9 3
−2 0 2 2 −4 1
3 2 4 −1 ANSWER:
3 find the determine matrix: −4
0 2 −3 13 2
For the matrix = −1 1 4 , For the matrix = 4 0 −1 ,
find −1 202 find 1 −1 2
ANSWER: 11/26 ANSWER:
1/13 −2/13 3/26 14 1
5/13 3/13 1/13 3 0 −1
−1/13 2/13 2 −1 2
For the matrix = 1 3 0 and
2 −2 −1
1 −1
= 0 2 , find + ANSWER:
21
30
3 −4 3 −5
109
110
PUZZLE SPACE
2
65 7 3
4 1 6 4 9 6 1 8 5 10
Solve all the mathematics questions below by using
the Scientific Calculator Casio fx-570MS and then
write the alphabet inside the puzzle space.
111
QUIZ Answer
Question A 7 − B −7 −
1. Simplify 3 2 − − −1 − 2 in the form of a+bi
2. Simplify 1+ in the form of a+bi J 35−15 I 35+51
2+ F 25 E5
3. Find the modulus of the complex number of C −0.52 + 2.95
= −3 − 4 D 0.52 − 2.95
4. Express = 3∠100° to the Cartesian form: P 7 + 11 − 3
O 7 − 11 + 3
5. Given that = 2 − 3 + and = 3 − 4 + 2 , find
5 −
112
QUIZ Answer
Question M2 L1
6. Given that = 2 + 3 − and = 3 − + 2 , find ∙
W −4 − 16 + 8
7. Given that = 2 − + 3 and = 4 + 2 − 2 , find
× V −4 + 16 + 8
1 −3 1 −2 2 −8
8. Solve the following matrix below: 4 2 −1 - 2 −1 3
T 10 −10
−1 3 2 −4
−8 20
2 −8
S 10 10
−8 20
113
QUIZ
Question Answer
12 1 3 −1 U 11 7 7
9. Solve the following matrix below: −1 3 52 4 Z 14 3 13
10 4 8
0 −2 11 7 7
14 3 13
10. For the matrix 1 2 1 , find the determine matrix: Q 10 4 8
A 3 6 2 R
21
1 5 3
−21
114
REFERENCES
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.
115
STEP BY STEP GUIDE TO USING
SCIENTIFIC CALCULATOR CASIO
fx-570MS
FOR POLYTECHNIC STUDENTS
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/