Find two unit vectors that make an angle of 60° with v = ‹6, 8›. Give your answers correct to three decimal places.

We are given with an angle 60° with v = (6, 8)

Then x^2+y^2=1

Also a. v=a v cos60

a. v=1*10*0,5=5

Since a. v=6x+8y, so

6x+8y=5 (2)

The equations are

x^2+y^2=1 and 6x+8y=5

We substitute 2 to 1, x^2 + [ (5-6x) / 8]^2 = 1

x then is equal to 0.9928 and y is equal to 0.12