Question

A plane is flying due East at 57.0 m/s. However, there is a 13.0 m/s wind blowing towards the North. What would the diagram to find the velocity of the plane look like?

Answer 1

You can start this by setting up two vectors starting at the origin.

Vector 1 has coordinates of (-57,0) since in the east direction.
Vector 2 has coordinates of (0,13) because going north.

Starting from the origin, plot the two points, which will give you two sides of a triangle.
You can use pythagorean theorem to solve for the magnitude of the velocity. And you can find the angle by arctan(y/x)
Pythagorean would produce 58.46m/s