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Mathematics ECAT Pre Engineering Chapter 24 Vectors Online Test MCQs With Answers
Question # 1
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 2
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0
1
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Question # 3
Which of the following is a vector.
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work
time
density
electric field
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Question # 4
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
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|u+v|
|u|+|v|
|u-v|
|u|-|v|
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Question # 5
The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C
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1,2
-1,-2
2,-1
-2,1
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Question # 6
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Question # 7
If 2 and 2 are x and y components of vector then its angle with x-axis is
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30
°
45
°
60
°
90
°
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Question # 8
u,v,wand u x (v.w) are
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Equal
Parallel
Additive immense of each other
Meaningless
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Question # 9
Which of the following is a vector.
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distance
temperature
energy
acceleration
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Question # 10
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Question # 11
Which of the following is a vector.
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energy
force
work
power
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Question # 12
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Question # 13
The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
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36 square units
3 square units
6 square units
18 square units
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Question # 14
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l
2
+ m
2
+ n
2
= 0
l
2
- m
2
+ n
2
= 1
l
2
+ m
2
+ n
2
= 1
l
2
+ m
2
- n
2
= 0
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Question # 15
Which of the following is not a unit vector
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[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
[1, 0, 0]
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Question # 16
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parallel vectors
perpendicular vectors
concurrent vectors
collinear vectors
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Question # 17
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none of these
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Question # 18
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Question # 19
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Question # 20
If a +b +c =0 then which of the following is true
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a =b =c =0
a,b =b,c =c,a
a xb=b xc =c xa
None
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Question # 21
Which of the following represents a vector
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(x, y)
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Question # 22
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 23
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none of these
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Question # 24
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 25
The unit vector along x-axis is
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none of these
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Question # 26
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Question # 27
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Question # 28
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 29
Unit vector in the positive direction of x-axis is
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Question # 30
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none of these
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Question # 31
The magnitude of a vector can never be
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Zero
Negative
Positive
None of these
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Question # 32
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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