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Q.

A vector A→ when added to the vector B→=3i^+4j^ yields a resultant vector that is in the positive y-direction and has a magnitude equal to that of B→ . Find the magnitud e of A→.

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a

10

b

10

c

5

d

15

answer is A.

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Detailed Solution

Given   C→=|B→|j^⇒C→=5j^Let        C→=A→+B→=A→+3i^+4j^⇒5j^=A→+3i^+4j^⇒         A→=−3i^+j^⇒|A→|=32+12=10
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