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If A=4hati+3hatjand B=24hati+7hatj,find ...

If `A=4hati+3hatjand B=24hati+7hatj,`find the vector having the same magnitude as B and parallel to A.

Text Solution

Verified by Experts

The vector parallel to `vecA` and having magnitude of `vecB` is
`vecC =|vecB| vecA/(|vecA|) = |vecB|hatA`
`B=sqrt(7^(2) + 24^(2)) = 25`
and `hatA =vecA/A =(3hati + 4hatj)/sqrt(3^(2) + 4^(2)) =1/5(3hati + 4hatj)`
`vecC =25 xx 1/5(3hati + 4hatj)=15hati + 20 hatj`
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