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If there are two vectors \(\vec A = 2\hat{i} + \hat{j}\) and \(\vec B = 3\hat{i} + 4\hat{j}\), then find such vector which has magnitude equal to that \(\vec B\) and direction of \(\vec A\).

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vector which has magnitude equal to that vector B

∴ Unit vector in direction of \(\vec A\),

\(\hat{A} = \frac{\vec A}{|\vec A|} = \frac{2\hat{i} + \hat{j}}{\sqrt{5}}\) 

Suppose the desired vector is \(\vec C\).

the desired vector is  vector C.

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