Originally Posted by

**nautica17** "Find the component forms of v + w and v - w in 2-space, given that ||v|| = 1, ||w|| = 1, v makes an angle of pi/6 with the positive x-axis, and w makes an angle of 3pi/4 with the positive x-axis."

v = <sqrt(3)/2, 1/2>

w = <-sqrt(2)/2, sqrt(2)/2>

And so...

v + w = < ( sqrt(3)/2 + (-sqrt(2)/2) ), ( 1/2 + sqrt(2)/2 ) >

= < ( (sqrt(3) - sqrt(2)) / 2 ), ( (1 + sqrt(2)) / 2 ) >

v - w = < ( sqrt(3)/2 - (-sqrt(2)/2) ), ( 1/2 - sqrt(2)/2 ) >

= < ( (sqrt(3) + sqrt(2)) / 2 ), ( (1 - sqrt(2)) / 2 ) >

**Am I doing it right?**