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

Correct option is 255, tan−112

Questions

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

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5, tan−1⁡34

55, tan−112

10, tan−1⁡(5)

25, tan−1⁡34

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detailed solution

Correct option is B

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

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

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