# Vector Algebra

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Vector Algebra - Topic Wise Multiple Choice Questions (MCQ)

Topic Wise Vector Algebra MCQ for competitive exam Practice Multiple Choice Questions for Engg Bank JEE CET Entrance Online Test

1 )

if |a| = 3.5 then |a × i|2 + |a × j|2 + |a × k|2 =_______

22
24.5
24
26.5

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2 )

a is non zero vector which magnitude |a|, m is scalar. If ma is unit vector satisfied ____

Select correct option from foloowing options

(a) m = ± 1

(b) m = |a|

(c) m = ± [1 / (|a|)]

(d) m = ± 2

a
b
c
d

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3 )

If 2i + j, i – 3j, 3i + 2j & i + λj are position vectors of points A, B, C, D respectively and AB || CD. Then λ is ____

– 8
– 6
– 4
4

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4 )

a and b non coplanar. 2uv = w, if u = xa + 2yb, v = – 2ya + 3xb and w = 4a – 2b, find x and y = ____

x = (8/7), y = (2/7)
x = 2, y = 3
x = (4/7), y = (6/7)
x = (10 / 7), y = (4/7)

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5 )

Two non zero vectors cross product is zero. Then vectors are ____

coplanar
equal vectors
origin at one point
same ending point

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