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Q.

Determine a vector which when added to the resultant  of A→=2i^+5j^−k^ and B→=3i^−4j^−k^ gives unit vector along negative y direction.

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a

−5i^−2j^+2k^

b

−5i^−j^+k^

c

−5i^−j^+2k^

d

5i^−j^+2k^

answer is A.

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Detailed Solution

Let C→ is required vector, then C→+A→+B→=−j^⇒ C→+2i^+5j^−k^+3i^−4j^−k^=−j^⇒C→=−5i^−2j^+2k^
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