Find a unit vector perpendicular to the plane ABC where A,B,C are the
points (3,-1,2)(1,-1,-3)(4,-3,1) respectively.

Find a unit vector perpendicular to the plane ABC where A,B,C are point (1,1,2),(2,3,5) and (1,5,5).

Find the unit vector in the direction of vector vecP Q , where P and Q are the points (1,2,3) and (4,5,6) respectively.

Show that the line AB is perpendicular CD if A,B,C,D are the points (2,3,4),(5,4,-1),(3,6,2),(1,2,0) respectively.

Find the unit vector in the direction of oversetrarr(PQ) , where P and Q are the points (1,2,3) and (4,5,6) respectively.

Find the equation of set of point P such that P A^2+P B^2=2 k^2 , where A and B are the points (3,4,5) and (-1,3,-7), respectively.

Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, -1), (4, 3, -1)

Find the equation of the plane passing through the points (3,-1,2) , (5,2,4) ,(-1,-1,6)

Consider three points on space (2,1,0),(3,-2,-2) and (3,1,7) Find the Cartesian equation of the plane passing through the above points. find a unit vector perpendicular to the plane and also find the perpendicular distance of the plane from the origin..

If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2)respectively,then find /_ABC.

Find the equation of the planes that pass through the points.. (1, 1, -1), (6, 4, -5), (-4, -2, 3)