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If vec(A)=3hat(i) + 4hat(j) and vec(B)=7...

If `vec(A)=3hat(i) + 4hat(j)` and `vec(B)=7hat(i) + 24hat(j)`. Find the vector having the same magnitude as `vec(B)` and is parallel to `vec(A)`:

A

`15hat(i) + 20hat(j)`

B

`20hat(i) + 15hat(j)`

C

`3hat(i) + 4hat(j)`

D

`4 hat(i) + 3hat(j)`

Text Solution

Verified by Experts

The correct Answer is:
A
Here `hatA=(3hati + 4hatj)/5` and |B|=25
Therefore `|B|hatA=25((3hati + 4hatj))/5=15hati+20hatj`
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MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-Revision TEST
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