Three vertices of a parallelogram ABCD are `A(3,-4),B(-1,-3)a n dC(-6,2)dot` Find the coordinates of vertiex D and find the area of parallelogram ABCD.

Explanation

Given three vertices of a parallelogram `ABCD` are `A(3,-1,2),B(1,2,-4)` and `C(-1,1,2)`


Let the coordinates of the fourth vertex by `D(x,y,z)`


As diagonals of the parallelogram bisects each other


Therefore in parallelogram `ABCD, AC` and `BD` bisect each other


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