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Q.

If A¯ = 4 i^ - 2j^ + 6 k^, and B¯ = i^ - 2j^ - 3 k^ , the angle which the A¯ +B¯ makes with the x – axis is

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a

cos−13/50

b

cos−15/50

c

cos−14/50

d

cos−112/50

answer is B.

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Detailed Solution

A→+B→=5i^−4j^+3k^(A→+B→).i^=A→+B→.i^.Cosθ⇒5=52+(−4)2+32.1.Cosθ⇒Cosθ=550,θ=Cos−1550

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