If you know the components of a vector, what mathematical relationship can be used to find the magnitude of the vector?

If you know a vector’s vertical and horizontal components you have to only find hypotenuse of a right triangle.

You can use the Pythagorean theorem (x2 + y2 = h2),

h=sqrt (x2+y2)

when you know the horizontal and vertical components of a vector, you can use the tangent to find the angle because

tan (theta) = y/x

theta = inverse tangent y/x:

this will tell you direction