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Q.

If A→=4i^−3j^ and B→=6i^+8j^  then magnitude and direction of A→+B→ will be

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a

5, tan−1⁡34

b

55, tan−112

c

10, tan−1⁡(5)

d

25, tan−1⁡34

answer is B.

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Detailed Solution

A→+B→=4i^-3j^+6i^+8j^=10i^+5j^ ⇒A→+B→=102+52=55 ⇒tanθ=510=12 ⇒θ=tan-112
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