university physics?

Question

the vectors 39.5cm at 15.0 degrees and 23.0cm at 64.0degrees both start from the origin. Both angles are measure counter-clockwise from the x-axis. The vectors form 2 sides of a parallelogram

a) find the area of the parallelogram

b) find the length of its longer diagonal.

Answer 1

The magnitude of the cross product of two vectors gives the area of the parallelogram.

The magnitude of the sum of the two vectors gives the length of one diagonal.

The magnitude of the difference of the two vectors gives the length of the other diagonal.