Find a vector v whose magnitude is 6 and whose component in

Find a vector v whose magnitude is 6 and whose component in the i direction is four times the component in the j direction. one vector that satisfies the given condition is v=

Solution

Let j component= x therefore i component= 4x

therefore vector is v=4xi + xj

therefore 6= sqrt(x^2 + 16x^2)

36=17x^2

x=+-36/17

v= +-36/17(4i+j)