Question

If A=3i+4j and B=7i+24j then find the vector having the same magnitude as B and paralklel to A is

Answer 1

Magnitude of A = √3²+4²=5 (WHOLE ROOT)

Magnitude of B = √7²+24²= 25

Now a unit vector parallel to A vector= 3i+4j/5

Therefore, the vector having same magnitude as B and parallel to A :

(magnitude of B × unit vector parallel to A)

= 25× 3i+4j/5

= 15i+20j

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