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If A=3hat(i)+4hat(j) and B=7hat(i)+24hat...

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

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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)=(3hat(i)+4hat(j))/(sqrt(3^(2)+4^(2)))=(1)/(5)(3hat(i)+4hat(j))`
`vecC=25xx(1)/(5)(3hat(i)+4hat(j)) = 15 hat(i)+20hat(j)`
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