The position vectors of the points A,B,C are respectively (1,1,1),(1,-1,2),(0,2,-1). Find a unit vector parallel totehplane determined by A,B,C and perpendicular to the vector (1,0,1).

Find a unit vector perpendicular to the plane determined by the points (1,-1,2),(2,0,-1) and (0,2,1)

if a = (2,1,-1) , b= (1,-1,0) , c = (5,-1,1) then unit vector parallel to a + b -c but opposite direction

If a=(2,1,-1), b=(1,-1,0),c=(5,-1,1), then what is the unit vector parallel to a+b-c in the opposite direction?

The position vectors of the 3 angular points A, B, C of a triangle are (3, 2, 3); (5, 1,-1) and (1,-2, 1) respectively. If the bisector of the angle A meets the side BC at D then the position vector of the point D are

Find the vector perpendicular to the plne determined by the points P(1,-2,2), Q(2,0,-1 ) and R(0,2,1)

A unit vector n perpendicular to the plane determined by the points A (0, -2, 1), B (1, -2, -2) and C (-1, 1, 0)

If the position vectors of the vertices a, B and C of a Triangle ABC be (1, 2, 3), (-1, 0, 0) and (0, 1, 2) respectively then find angleABC .