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Q.

If  A=4i^-3j^ and B=6i^+8j^   then magnitude and direction of A + B with X-axis will be

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a

5, tan-1 (3/4)

b

55,tan-1(1/2)

c

10, tan-1 (5)

d

25, tan-1 (3/4)

answer is B.

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Detailed Solution

A+B=10i^+5j^∴    |A+B|=100+25=55Angle of A + B with X-axisθ=tan-1510=tan-112
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