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Q.

Vectors  a→=−4i^+3k^;b→=14i^+2j^−5k^  are laid off from one point. Vector d→ which is being laid off from the same point dividing the angle between vector, a→ and b→  in equal halves and having the magnitude 6, is

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a

i^+j^+2k^

b

i^−j^+2k^

c

i^+j^−2k^

d

2i^−j^−2k^

answer is A.

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Detailed Solution

a^=−4i+3k^5;b^=14i^+2j^−5k^15 A vector V→ bisecting the angle between a→ and b→isV→=a^+b^=−12i^+9k^+14i^+2j^−5k^15=2i^+2j^+4k^15 Required vector d→=6V^=i^+j^+2k^
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