Using direction ratios prove that the points (4, 2, -6), (5, -3, 1), (12, 4, 5) and (11, 9, -2) taken in order are the vertices of a rectangle.

Show that the points (-4, -7), (-1, 2), (8, 5) and (5, -4) taken in order are the vertices of a rhombus.

Show that the points (1, 1), (-1, 5), (7, 9) and (9, 5) taken in that order are the vertices of a rectangle.

Using direction numbers show that points P(4, 7, 8) and Q(2, 3, 4), R(-1, -2, 1) and S(1, 2, 5) taken in order, are the vertices of a parallelogram. Is the parallelogram a rectangle?

Prove that the points ( 2 , 3, 5) , ( - 4 , 7 , - 7) , ( - 2 , 1 , -10) and ( 4 , - 3 , 2) are the vertices of a rectangle .

Prove that the points (1,1,1),(-2,4,1),(-1,5,5) and (2,2,5) taken in order ,are the vertices of a square. Find the area of square.

Prove that the points ( 4 , 7 , 6) , ( 2 , 3 , 2 ) , ( - 1, -2, -1) and ( 1, 2 , 3) taken in order are the vertices of a parallelogram . Is the the parallelogram a rectangle?

Using direction numbers show that the points P(4,7,8) and Q(2,3,4),R(-1,-2,1) and S(1,2,5) taken in ordethe vertices of a parallelogram.Is the parallelogram rectangle?

The points (3,-5),(-5,-4),(7,10),(15,9) taken in order are the vertices of a

Four points A(+1,-1,1);B(1,3,1);C(4,3,1) and D(4,-1,1) taken in order are the vertices of

Show that the points A(7 , 3) , B (6 , 1) , C ( 8 , 2) and D ( 9 , 4) taken in that order are vertices of a parallelogram . (AS_(2))