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ECAT Pre General Science Mathematics Chapter 24 Vectors Online Test MCQs With Answers
Question # 1
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
Choose an answer
5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 2
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none of these
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Question # 3
If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?
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0
2
4
7
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Question # 4
The physical quantity which possesses both magnitude and direction is called a
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scalar
vector
constant
none of these
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Question # 5
Which of the vectors have opposite direction?
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Question # 6
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Question # 7
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
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15
30
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Question # 8
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Question # 9
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 # 10
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 11
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none of these
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Question # 12
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Question # 13
Three points whose position vector a,b,c are collinear
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axb +b x c+ c x a = 0
a,b +b,c +c,a =0
a,|a xc| =0
a+b+c =0
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Question # 14
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none of these
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Question # 15
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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 # 16
If uv= Projuv then
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Uandvare parallel
vis a unit vector
Uis a unit vector
Both b and c
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Question # 17
For two vector a and b, a+b = _______
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a b
b+a
b-a
None
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Question # 18
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 # 19
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 20
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Question # 21
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Question # 22
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25
16
5
0
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Question # 23
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Question # 24
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 # 25
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Question # 26
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 # 27
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Question # 28
Which of the following is a scalar.
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force
frequency
weight
acceleration
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Question # 29
If a,b c are sides of a triangle taken in order then a x b =
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b x c
b x a
cxa
Both a & b
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Question # 30
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none of these
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