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If A= $3 \hat{i} + 4 \hat{j}$ and B= $7 \hat{i} + 24 \hat{j}$ , the vector having the same magnitude as B and parallel to A is

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5i^+20j^

15i^+10j^

20i^+15j^

15i^+20j^

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detailed solution

Correct option is D

A vector parallel to A will be n A or (3ni^+4nj^)Now, |nA|=|B| is given.n = 5nA=15i^+20j^

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If A=3i^+4j^ and B=7i^+24j^, the vector having the same magnitude as B and parallel to A is

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If A= $3 \hat{i} + 4 \hat{j}$ and B= $7 \hat{i} + 24 \hat{j}$ , the vector having the same magnitude as B and parallel to A is