Find the vector v with the given magnitude and the same direction as u. ||v||=7, u=3i+4j

1 answer

a unit vector in the direction of u is (3/5)i + (4/5)j

so a vector with length 7 with that direction is
(21/5)i + 28/5)j

check: magnitude = √((21/5)^2 + (28/5))
= √(1225/25) = √49 = 7