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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
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 # 4
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a
1
+ a
2
a
2
1
+ a
2
2
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Question # 5
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1
0
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Question # 6
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none of these
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Question # 7
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Question # 8
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0
1
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Question # 9
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 # 10
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 11
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Question # 12
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Question # 13
The position vector of any point in space is
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Question # 14
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Question # 15
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12
6
8
none of these
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Question # 16
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Question # 17
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 # 18
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Question # 19
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direction ratios
direction cosines
direction angles
none of these
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Question # 20
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 # 21
A vector with magnitude one is called
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constant vector
unit vector
zero vector
null vector
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Question # 22
Unit vector in the positive direction of x-axis is
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Question # 23
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Question # 24
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0
1
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Question # 25
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0
1
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Question # 26
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25
16
5
0
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Question # 27
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 28
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 29
Projection of vector u along v is
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|v| cosθ
|u| cosθ
|v| sinθ
|u| sinθ
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Question # 30
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 31
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A,. B, C are coincident
A, B, C are collinear
Both A and B
None of these
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Question # 32
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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