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Mathematics ECAT Pre Engineering Chapter 24 Vectors Online Test MCQs With Answers
Question # 1
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0
1
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Question # 2
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direction ratios
direction cosines
direction angles
none of these
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Question # 3
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 # 4
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1
0
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Question # 5
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Question # 6
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 7
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 # 8
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Question # 9
Which of the following is a vector.
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work
time
density
electric field
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Question # 10
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none of these
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Question # 11
The zero vector is regarded to be parallel to
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Every vector
Is some cases
Both a,b
None
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Question # 12
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 # 13
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 # 14
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 # 15
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none of these
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Question # 16
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none of these
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Question # 17
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 # 18
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 # 19
A vector with magnitude one is called
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constant vector
unit vector
zero vector
null vector
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Question # 20
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 # 21
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12
6
8
none of these
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Question # 22
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0
1
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Question # 23
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none of these
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Question # 24
The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is
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(0,0)
(1,1)
(2,2)
(3,3)
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Question # 25
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 # 26
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Question # 27
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0
1
-1
None
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Question # 28
u,v,wand u x (v.w) are
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Equal
Parallel
Additive immense of each other
Meaningless
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Question # 29
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Question # 30
The angle between the vectors 3i + j - k and 2i - j + k is
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