Let A=(1,0,-2), B=(-1,1,2),C=(3,4,0)
(a) Find the point D such that ABCD is a parallelogram where the apex D is opposite to A.
(b) Write parametric equations and symmetric equations of the line L passing through D and parallel to the segment BC.
Let A=(1,0,-2), B=(-1,1,2),C=(3,4,0)
(a) Find the point D such that ABCD is a parallelogram where the apex D is opposite to A.
(b) Write parametric equations and symmetric equations of the line L passing through D and parallel to the segment BC.
Hello, Undefdisfigure!
We would find vector like this . . .Let: .
(a) Find point such that is a parallelogram where vertex is opposite
. .
Let
We know that: .
We would find vector CD like this:
. .
So we have: .
Therefore: .
(b) Write parametric equations and symmetric equations of the line
passing through and parallel to the segment
The direction of is: .
The line through with direction has equations:
. . . . . . and . .