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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

|B→| = 72+(24)2= 625 = 25Unit vector in the direction of A will be A^ = 3i^+4j^5So required vector = 253i^+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