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

A→+B→=10i^+5j^|A→+B→|=55α=tan−1⁡510=tan−1⁡12

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

A→+B→=10i^+5j^|A→+B→|=55α=tan−1⁡510=tan−1⁡12

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

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$5, \tan^{- 1} (3 / 4)$

$5 \sqrt{5}, \tan^{- 1} (1 / 2)$

$10, \tan^{- 1} (5)$

$25, \tan^{- 1} (3 / 4)$

answer is B.

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Detailed Solution

$\vec{A} + \vec{B} = 10 \hat{i} + 5 \hat{j}$

$| \vec{A} + \vec{B} | = 5 \sqrt{5}$

$α = \tan^{- 1} (\frac{5}{10}) = \tan^{- 1} (\frac{1}{2})$

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