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If vecA = 3hati + 4hatj and vecB = 7hat...

If `vecA = 3hati + 4hatj` and `vecB = 7hati + 24hatj` , find a vector having the same magnitude as B and parallel to `vecA`

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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