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

Explanation

The vector parallel to `vec(A)` and having magnitude of `vec(B)` is `vec(C) = |vec(B)|(vec(A))/(|vec(A)|) = |vec(B)|hat(A)`
`B = sqrt(7^(2) + 24^(2)) = 25`
and `hat(A) = (vec(A))/(A) = (3hat(i) + 4hat(j))/(sqrt(3^(2) + 4^(2))) = (1)/(5)(3hat(i) + 4hat(j))`
`vec(C) = 25 xx (1)/(5)(3hat(i) + 4hat(j)) = 15 hat(i) + 20 hat(j)`