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

Correct option is 255,tan-1(1/2)

Questions

If $A = 4 \hat{i} - 3 \hat{j} and B = 6 \hat{i} + 8 \hat{j}$ then magnitude and direction of A + B with X-axis will be

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5, tan-1 (3/4)

55,tan-1(1/2)

10, tan-1 (5)

25, tan-1 (3/4)

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detailed solution

Correct option is B

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

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

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If $A = 4 \hat{i} - 3 \hat{j} and B = 6 \hat{i} + 8 \hat{j}$ then magnitude and direction of A + B with X-axis will be