Question # 1

If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=

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√7

√41

√19

√(2&7)

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

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π/2

-3π/2

π

None of these

If m and n be two scalars, then (m+n) g =

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0

m+n

m▁a+n▁a

ma - m▁a

If a,b = 0 then

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a |b

a||b

a = b

None

The modulus of a vector i-i+ k is:

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√3

1

√2

∞

If G is the centroid of the triangle, then GA +GB+GC=

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0

1

-1

3

The magnitude of vector a 2i-7j is

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√23

√43

3

√53

If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =

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4

1/2

3

4/3

If u = xi + yj, then|u|

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x² + y²

(x² +y²)²

x²-y²

√(x²+y²)

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

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√2

√3

1

None of these

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

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x -axis

y - axis

z- axis

None of these

If aand bare two vectors then a+b =

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b + a

b - a

ab

a^ b

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ECAT Mathematics Chapter 23 Pre Engineering Online Test MCQs With Answers

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