vector trig and algebraic form

Question

Write vector v in the i,j form, given llvll=7, and the angle that v makes with the positive x-axis is θ= 5pie/3. Show both trig and algebraic form. 

Answer 1

v = 7 cos 5π/3 i  + 7 sin 5π/3 j

 

v = 3.5 i  - 7 √3/2 j