1.

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

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Solution :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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