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Q.

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

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a

5, tan-1(34)

b

55, tan-1(12)

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|→ = (10)2+(5)2 = 55tanθ = 510 = 12 ⇒θ =tan-1(12)

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