SOLUTION: Consider a vector v with direction angle θ=135° such that |v|=√2. Find the x-component. Thank you.

Algebra ->  Vectors -> SOLUTION: Consider a vector v with direction angle θ=135° such that |v|=√2. Find the x-component. Thank you.      Log On


   

Question 984227: Consider a vector v with direction angle θ=135° such that |v|=√2.
Find the x-component.
Thank you.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
magnitude of vector v = |v|
= square root of (2)
theta = 135 degrees places it in quadrant 2 where x is negative and y is positive
note |v| = square root of (2) = square root ( x^2 + y^2 ) = square root ( (-1^2) + 1^2 )
therefore the x-component is -1