posted by Dwight .
The points A(1, -2, 4), B(3, 5, 7), C(4, 6, 8) are three of four vertices of parallelogram ABCD. Determine the coordinates of vertex D
Could someone please tell me to go about solving this question. Thanks a lot.
Calculate vector BA and add it to point C to get point D, similar to sliding the line BA until it fits on C.
= coordinates of A - coordinates of B.
=(1,-2,4) - (3,5,7)
You can take it from here.
Do check your calculations by comparing the mid-points of AC and BD. They should be identical since the diagonals of a parallelogram bisect each other.