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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∣=32+42=5Desired vector, r=|B|A^=72+242×3i^+4j^5=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