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Q.

Two vectors are $\vec{A} = 3 \hat{i} + 4 \hat{j}$ and $\vec{B} = 4 \hat{i} + 3 \hat{j}$ . The magnitude of the vector $\vec{A} - 2 \vec{B}$ is $\sqrt{x}$ where x = _______.

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answer is 29.

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Detailed Solution

$\vec{A} - 2 \vec{B} = - 5 \hat{i} - 2 \hat{j}$

Magnitude is $\sqrt{29}$

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