Label the sides of the rectangular prism and write the coordinates of the vertices. Find the slopes of the diagonals OK and JC. Their dot product should be zero.
One of the questions say, In any given rectangular prism (dimensions a x b x c), there are 4 "space diagonals", lines that run from one vertex to the diagonally opposite vertex. Consider 2 of the space diagonals, OK and JC as shown in the diagram below. Find the relationship between a,b, and c such that the 2 space diagonals, OK and JC, are perpendicular to each other.
Thanks for the help!! I need to get this question to ace my test!!!