Parallelogram formula for resolving vectors

Answer 1

The formula for resolving a vector into its components in a parallelogram is:

Magnitude of the resolved vector = magnitude of the original vector * cos(theta)

where theta is the angle between the original vector and the desired component vector.

In terms of the x and y components of the original vector:

Resolved vector in the x direction = magnitude of the original vector * cos(theta)

Resolved vector in the y direction = magnitude of the original vector * sin(theta)

It's important to note that the components of the resolved vector are perpendicular to each other and to the original vector.