# Vectors – Calculate a vertex in a parallelogram and an angle between diagonals – Exercise 4480

Exercise

Given the points

$$A(-3,-2,0),B(3,-3,1),C(5,0,2)$$

Calculate the point D and the angle between the diagonals AC and BD in parallelogram ABCD.

$$D(-1,1,1)$$
$$\alpha=60^{\circ},\beta=120^{\circ}$$