SOLUTION: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Magnitude Angle v= 7 𝜃 = 45° v =______

Algebra ->  Trigonometry-basics -> SOLUTION: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Magnitude Angle v= 7 𝜃 = 45° v =______      Log On


   

Question 1173566: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.

Magnitude Angle
v= 7 𝜃 = 45°

v =______
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
v = +7cos%2845%5Eo%29 i + 7sin%2845%5Eo%29j
= (exactly) +7%2Asqrt%282%29%2F2+ i + 7%2Asqrt%282%29%2F2j

= (approximately) +4.9497+ i + 4.9497j


The green%28green%29 part shows the x (i) component, while the blue%28blue%29 part shows the y (j) component: