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Online Tests

Mathematics ECAT Pre Engineering Chapter 24 Vectors Online Test MCQs With Answers

Question # 1

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a₁+ a₂

a²₁+ a²₂

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Question # 2

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none of these

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Question # 3

Which of the following is a scalar.

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force

frequency

weight

acceleration

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Question # 4

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0

1

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Question # 5

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none of these

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Question # 6

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Question # 7

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 # 8

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Question # 9

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perpendicular vectors

parallel vectors

concurrent vectors

none of these

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Question # 10

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none of these

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Question # 11

The unit vector along z-axis is

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none of these

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Question # 12

The position vector of the point P(a, b, c) is

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Question # 13

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Question # 14

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A

0

Unit vector

None

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Question # 15

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Question # 16

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

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Question # 17

The angle between the vectors 3i + j - k and 2i - j + k is

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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 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 # 21

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 # 22

Which of the following is a vector.

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distance

temperature

energy

acceleration

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Question # 23

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 # 24

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Question # 25

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 # 26

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0

1

-1

None

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Question # 27

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Question # 28

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Question # 29

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Question # 30

If 2 and 2 are x and y components of vector then its angle with x-axis is

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30°

45°

60°

90°

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Question # 31

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 # 32

If a2 = b2 then

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a = b

a+b= 1

|a+b| =0

None

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