Free Printable Applied Mathematics 2

1.

Find the dot product of the given vectors:

a)

92

b)

0

c)

-92

d)

-120

2.

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

a)

They are parallel.

b)

They are perpendicular.

c)

They are unit vectors.

d)

They are both zero vectors.

3.

Find the angle between vectors (1,3) and (2,-5).

a)

40.2°

b)

49.7°

c)

139.7°

d)

92.6°

4.

When finding the projection of vector u = (3,2), onto vector v =(5,-5) , which diagram illustrates this situation?

a)

b)

c)

d)

5.

The vector projection of u=(3,2) onto vector v=(5,-5) is

a)

(-½,½)

b)

(½,½)

c)

(½,-½)

d)

(-½,-½)

6.

The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is

a)

8

b)

40

c)

-8

d)

-16

7.

if vector u and vector v are parallel then the projection of u on v is

a)

0

b)

-1

c)

u

d)

v

8.

Find direction angle α for the vector (-8, 3)

a)

159.4°

b)

200.6°

c)

110.6°

d)

249.4°

9.

Find direction angle β for the vector (-8, 3)

a)

58.4°

b)

60.9°

c)

69.4°

d)

88.7°

10.

Find the cross product of (3,4,7) and (4,9,2).

a)

(-55, 22, -9)

b)

(-55, -22, -9)

c)

(71,34, 63)

d)

(-71, -34, -630

11.

If a matrix has 13 elements then it’s possible order is-

a)

1 by 3

b)

3 by 1

c)

1 by 13

d)

none

12.

Find the value of x,y,z if =(x/5 + y/z X 2/xy)=(6/5 2/8)

a)

4,2,0

b)

1,2,3

c)

3,0,5

d)

none

13.

If A is a square matrix of m by n then

a)

m=n

b)

m>n

c)

m<n

d)

none

14.

The no. of possible matrices of order 3 by 3 with each entry 0 or 1 is

a)

27

b)

18

c)

81

d)

512

15.

If transpose of each matrix is equal to itself then it is

a)

Skew Symmetric

b)

Symmetric

c)

Rectangular

d)

none

16.

Which is equal to AA’?

a)

Null Matrix

b)

Identity Matrix

c)

Upper Triangular

d)

None

17.

Which matrix has it’s diagonal elements always zero?

a)

Diagonal Matrix

b)

Scalar Matrix

c)

Skew Symmetric Matrix

d)

Identity

18.

Which is not always a square matrix?

a)

Scalar Matrix

b)

diagonal

c)

Null

d)

Identity

19.

Which is not a type of Matrix?

a)

Triangular

b)

Scalar

c)

Square

d)

None

20.

(AB)’ is equal to-

a)

BA

b)

A’B’

c)

B’A’

d)

None

21.

Product of Matrices is always-

a)

Associative

b)

Commutative

c)

Both

d)

None

22.

If A is symmetric then B’AB is always

a)

Skew Symmetric

b)

Square

c)

Symmetric

d)

None

23.

If A is Skew Symmetric then B’AB is always-

a)

Skew Symmetric

b)

Square

c)

Symmetric

d)

none

24.

If A and B are symmetric Matrices then AB-BA is -

a)

Skew Symmetric

b)

Square

c)

Symmetric

d)

none

25.

If two matrices have same order then these can be-

a)

Added

b)

Subtracted

c)

Multiplied

d)

All of the options

26.

By using Elementary transformation we can find

a)

Inverse

b)

Symmetric matrix

c)

Scalar Matrix

d)

None

27.

Inverse of the matrix A = = $_3^4\ \ _4^5$ is

a)

$_5^6\ \ _8^2$

b)

$_1^6\ \ \ _8^8$

c)

$_5^0\ \ \ _0^2$

d)

$_{-3}^{\ \ \ 4}\ \ \ _{\ \ \ 4}^{-5}$

28.

Inverse can not exist of a matrix if it is-

a)

Square

b)

Non singular

c)

Singular

d)

None

29.

A is any matrix and I is an Identity matrix then AI =

a)

A

b)

I

c)

O

d)

None

30.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

31.

√-4

a)

-2

b)

-2i

c)

2

d)

2i

32.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

33.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

34.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

(-3-i)(6-i)

a)

-21-7i

b)

-19-3i

c)

-15-5i

d)

-17-9i

38.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

39.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

40.

(-7+6i)²

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

41.

What is an outcome?

a)

The result of an experiment

b)

The chance or likelihood of an event

c)

A fraction, decimal, or a percent

d)

An activity that gives various results

42.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

43.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

44.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

45.

How do you write 0.02 as a percent?

a)

20%

b)

200%

c)

2%

d)

.02%

46.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

47.

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?

a)

8/121

b)

4/11

c)

2/11

d)

4/121

48.

A set of all possible outcomes is known as -

a)

a list

b)

a complement

c)

a sample space

d)

an event

49.

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

50.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

Applied Mathematics 2

Total questions: 50

Worksheet time: 38mins

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