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ECAT Mathematics Chapter 24 Vectors Online Test MCQs With Answers
Question # 1
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 # 2
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 # 3
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 # 4
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Question # 5
The null vector is regarded to be perpendicular to
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Every vector
In some cases
Both a b
None
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Question # 6
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 7
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Question # 8
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 # 9
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Question # 10
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 # 11
The physical quantity which can be specified by a number alongwith unit is called a
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scalar
vector
constant
none of these
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Question # 12
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Question # 13
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Question # 14
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 # 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
Which of the following represents a vector
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(x, y)
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Question # 17
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 # 18
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Question # 19
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Question # 20
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none of these
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Question # 21
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Question # 22
The unit vector along x-axis is
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none of these
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Question # 23
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 # 24
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 25
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direction ratios
direction cosines
direction angles
none of these
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Question # 26
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0
1
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Question # 27
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none of these
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Question # 28
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Question # 29
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 30
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parallel vectors
perpendicular vectors
concurrent vectors
collinear vectors
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