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ECAT Mathematics Chapter 24 Vectors Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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Question # 4
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Question # 5
The position vector of any point in space is
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Question # 6
If a,b,c are unit vectors then |a + b|2 +|a - b|2
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4
8ab
9cos
4(a,b)
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Question # 7
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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 # 8
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parallel vectors
perpendicular vectors
concurrent vectors
collinear vectors
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Question # 9
If |αi + (α+1)j +2k| =3 then value of α is
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1,2
-1,-2
1,-2
-1,2
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Question # 10
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 11
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 12
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 # 13
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 14
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Question # 15
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none of these
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Question # 16
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Question # 17
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direction ratios
direction cosines
direction angles
none of these
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Question # 18
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
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5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 19
The zero vector is
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[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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Question # 20
Which of the vectors have opposite direction?
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Question # 21
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Question # 22
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Question # 23
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Question # 24
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a
1
+ a
2
a
2
1
+ a
2
2
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Question # 25
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none of these
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Question # 26
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Question # 27
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1
0
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Question # 28
If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is
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12
6
3
0
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Question # 29
Unit vector in the positive direction of x-axis is
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Question # 30
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 # 31
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none of these
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Question # 32
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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