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Question

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


A

5^i+20^j

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B

15^i+10^j

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C

20^i+15^j

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D

15^i+20^j

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Solution

The correct option is D

15^i+20^j


|B|=72+(24)2=625=25
Unit vector in the direction of A will be ^A=3^i+4^j5
So required vector =25(3^i+4^j5)=15^i+20^j.


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