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Q.

Find the angle between two vectors A=2i^+j^-k^ and B=i^-k

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a

60°

b

30°

c

90°

d

120°

answer is B.

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Detailed Solution

A=|A|=(2)2+(1)2(-1)2=6B=|B|=(1)2+(-1)2=2A·B=(2i^+j^-k^)·(i^-k^)=(2)(1)+(1)(0)+(-1)(-1)=3cosθ=A·BAB=36·2=312=32θ=30°
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