Verify the following:
`(-1,2,1)`,`(1,-2,5)`,`(4,-7,8)` and `(2,-3,4)` are
the vertices of a parllelogram.

Show that the points A(1,2,3) , B(-1,-2,-1) , C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.

Verify the following: (0,7,10) , (-1,6,6) and (-4,9,6) are the vertices of a right angled triangle.

Verify the following: (0,7,-10) , (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

If (7,3),(6,1),(8,2)and(p,4) are the vertices of a parallelogram taken in order,then find the value of p.

The mid -points of the sides of a triangle are (1,5,-1),(0,4,-2) and (2,3,4) . Find its vertices.

Let A (2,3,5), B(-1,5,-1) and C(4,-3,2) be the vertices of a DeltaABC Prove that the area of DeltaABC is 49/2

If [(1,2),(3,4)][(3,1),(2,5)]=[(7,11),(k ,23)] , then find the value of k.

Show that the points (2,3,4), (-1,-2,1), (5,8,7) are colinear

Let U= (1,2,3,4,5,6,7,8,9) , A= (1,2,4,7} and B= (1,3,5,7) The power set P(A) has elements.

Let A=[(-1,2,4),(1,1,3),(3,2,3)] Verify that A. AdjA=|A|.I