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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=25xx(1)/(5)(3hati+4hatj=15 hati+20 hatj)`
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