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

Correct option is 255, tan-1(12)

Questions

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

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5, tan-1(34)

55, tan-1(12)

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

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

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Ready to Test Your Skills?

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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 $\vec{A} + \vec{B}$ from +x axis will be