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Q.

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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a

5i^ +20j^

b

15i^ +10j^

c

20i^ +15j^

d

15i^ +20j^

answer is D.

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Detailed Solution

|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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