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ECAT Pre General Science Mathematics Chapter 24 Vectors Online Test MCQs With Answers
Question # 1
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perpendicular vectors
parallel vectors
concurrent vectors
none of these
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Question # 2
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none of these
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Question # 3
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Question # 4
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 # 5
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none of these
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Question # 6
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 # 7
A vector of magnitude zero is called
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Position vector
Null vector
Free vector
None of these
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Question # 8
If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____
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[a.b.c]
2[a,b,c]
[abc]-2
2[abc]2
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Question # 9
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 # 10
Projection of vector u along v is
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|v| cosθ
|u| cosθ
|v| sinθ
|u| sinθ
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Question # 11
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 # 12
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 # 13
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none of these
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Question # 14
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Question # 15
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Question # 16
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Question # 17
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none of these
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Question # 18
The unit vector along z-axis is
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none of these
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Question # 19
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none of these
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Question # 20
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 # 21
3j . k x i
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0
1
3
9
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Question # 22
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none of these
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Question # 23
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 # 24
Unit vector in the positive direction of x-axis is
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Question # 25
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 26
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Question # 27
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 28
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parallel vectors
perpendicular vectors
concurrent vectors
collinear vectors
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Question # 29
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Question # 30
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0
90°
180°
360°
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