SOLUTION: Please help Topic : vectors Find (and leave answer in simplified surf form,where possible) a) the horizontal and vertical components of the vector with given length and dire

Algebra ->  Finance -> SOLUTION: Please help Topic : vectors Find (and leave answer in simplified surf form,where possible) a) the horizontal and vertical components of the vector with given length and dire      Log On


   

Question 1083985: Please help
Topic : vectors
Find (and leave answer in simplified surf form,where possible)
a) the horizontal and vertical components of the vector with given length and direction and write the vector in terms of the vectors i and j :
|v| = 50, θ = 120°
b) the magnitude and direction (in degrees) of the vector v = 2i - 5j
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
i:50cos%28120%29=50%28-1%2F2%29=-25
j:50sin%28120%29=50%28sqrt%283%29%2F2%29=25sqrt%283%29
.
.
.
abs%28z%29=sqrt%282%5E2%2B5%5E2%29=sqrt%284%2B25%29=sqrt%2829%29
Positive x, negative y component so theta is in QIV.
tan%28theta%29=-%285%2F2%29
theta=291.8