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

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5i^+20j^

15i^+10j^

20i^+15j^

15i^+20j^

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detailed solution

Correct option is D

C→=BA^=72+242(3i^+4j^)32+42=25×(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 _{$\vec{A} = 3 \hat{i} + 4 \hat{j}$} and _{$\vec{B} = 7 \hat{i} + 24 \hat{j}$}, the vector having the same magnitude as _$\vec{B}$ and parallel to _$\vec{A}$ is :