Answer to Question #14783 in Calculus for muntadhar
A vector has a magnitude of 5. When its tail is at the origin it lies between the positive x-axis and the negative y-axis and makes an angle of 38o with the x axis. Its y-component has a length of:
Here is the illustration:
| & \ V
V is our vector, Vx and Vy are his x- and y- components. Then:
|V| = 5
|Vy| = |V|*sinα = 5*sin38 ≈ 3.0783.
So, the vector's y-component has a length of approximately 3.0783.