ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 24 (Vectors)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 24 Vectors

Try The MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 24 Vectors

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ECAT (Pre-Eng) Mathematics Chapter 24 Vectors

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Question # 1

If the angle between two vectors with magnitude 2 and 15 is 30°then their scalar product is

Question # 2

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Question # 3

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Question # 4

Which of the following is a vector.

Question # 5

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Question # 6

Which of the following is a scalar.

Question # 7

For two vector a and b, a+b = _______

Question # 8

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Question # 9

The zero vector is regarded to be parallel to

Question # 10

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Question # 11

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Question # 12

Which of the following is a vector

Question # 13

If 2 and 2 are x and y components of vector then its angle with x-axis is

Question # 14

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Question # 15

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Question # 16

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Question # 17

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Question # 18

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Question # 19

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Question # 20

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Question # 21

Unit vector in the positive direction of x-axis is

Question # 22

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Question # 23

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Question # 24

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

Question # 25

Which of the vectors have opposite direction?

Question # 26

[i,j,k]

Question # 27

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Question # 28

The direction cosines of y-axis are

Question # 29

Which of the following is a scalar.

Question # 30

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Sr.# Question Answer
1
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A. Choice 1
B. Choice 2
C. 0
D. 1
2
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
3 If the angle between two vectors with magnitude 2 and 15 is 30°then their scalar product is
A. Choice 1
B. 15
C. 30
D. Choice 4
4 The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
A. 36 square units
B. 3 square units
C. 6 square units
D. 18 square units
5 If a +b +c =0 then which of the following is true
A. a =b =c =0
B. a,b =b,c =c,a
C. a xb=b xc =c xa
D. None
6 The physical quantity which can be specified by a number alongwith unit is called a
A. scalar
B. vector
C. constant
D. none of these
7 If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?
A. 0
B. 2
C. 4
D. 7
8 Projection of vector u along v is
A. |v| cosθ
B. |u| cosθ
C. |v| sinθ
D. |u| sinθ
9
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
10
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A. Choice 1
B. Choice 2
C. Choice 3
D. none of these
11
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
12
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
13 If a,b c are sides of a triangle taken in order then a x b =
A. b x c
B. b x a
C. cxa
D. Both a & b
14
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
15
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A. Choice 1
B. Choice 2
C. Choice 3
D. none of these
16 If uv= Projuv then
A. Uandvare parallel
B. vis a unit vector
C. Uis a unit vector
D. Both b and c
17 Three points whose position vector a,b,c are collinear
A. axb +b x c+ c x a = 0
B. a,b +b,c +c,a =0
C. a,|a xc| =0
D. a+b+c =0
18 Which of the following is a vector.
A. work
B. time
C. density
D. electric field
19
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A. perpendicular vectors
B. parallel vectors
C. concurrent vectors
D. none of these
20
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A. Choice 1
B. Choice 2
C. 0
D. 1
21 The magnitude of a vector can never be
A. Zero
B. Negative
C. Positive
D. None of these
22
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A. [0, 0, 0]
B. [1, 0, 0]
C. [0, 1, 0]
D. [0, 0, 1]
23
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A. A,. B, C are coincident
B. A, B, C are collinear
C. Both A and B
D. None of these
24
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A. Choice 1
B. Choice 2
C. Choice 3
D. none of these
25
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A. Choice 1
B. Choice 2
C. Choice 3
D. none of these
26
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A. 12
B. 6
C. 8
D. none of these
27
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A. Choice 1
B. Choice 2
C. Choice 3
D. Choice 4
28 If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length
A. |u+v|
B. |u|+|v|
C. |u-v|
D. |u|-|v|
29 A vector with magnitude one is called
A. constant vector
B. unit vector
C. zero vector
D. null vector
30 If 2 and 2 are x and y components of vector then its angle with x-axis is
A. 30°
B. 45°
C. 60°
D. 90°

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