Question # 1

I f a =5i + 2j, then|a| =

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√13

√7

1/√13

√29

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

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-i -15j

i-15j

i-3j

None of these

If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=

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1

2

-1

-3

Vector i =

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[1,0]

[0,1,0]

[0,0,1]

None of these

If aand bare two vectors then a+b =

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b + a

b - a

ab

a^ b

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

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

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

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4

6

5

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

The magnitude of vector a 2i-7j is

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√23

√43

3

√53

If|a| =|b| = |a+b|=1, then|a-b| is equal to:

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1

√3

√2

7

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

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√21

√97

√39

None of these

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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ECAT Mathematics Chapter 23 Pre Engineering Online Test MCQs With Answers

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