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ECAT Mathematics Chapter 23 Pre Engineering Online Test MCQs With Answers

Question # 1

Vector additon is:

Choose an answer

Commutative

Associative

Commutative and Associative

None of these

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Question # 2

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

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Question # 3

The angle between the vectors u =2i - i + k and v = -i + i is:

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3π/2

2π/3

5π/6

π/3

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Question # 4

The positive real number which is the measure of the length of a vector is called the

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Unit vector

Modulus

Inverse

None of these

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Question # 5

a ______quantity is one that possesses both magnitude and direction.

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Scalar

Vector

Segment

None of these

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Question # 6

If a=5j + 2j,b=2i -3j, then|a+2b|=

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√21

√97

√39

None of these

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Question # 7

If the sum of two unit vectors is a unit vector the the magnitude of their difference is

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√2

√3

None of these

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Question # 8

The modulus of 12-5i is:

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√7

119

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Question # 9

If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

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Question # 10

The vector i = [1,0] is called unit vector along:

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x-axis

y - axis

z- axis

Botha a and y-axis

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Question # 11

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

Choose an answer

Orthogonal

Collinear

Perpendicular

None of these

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Question # 12

Vector i =

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[1,0]

[0,1,0]

[0,0,1]

None of these

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Question # 13

If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

Choose an answer

Parallel to each other

Perpendicular to each other

Inclined at 60^o

neither parallel nor perpendicular

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