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)dot

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

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

The unit vector perendicular to the plane determined by P(1,−1,2),Q(2,0,−1) and R(0,2,1) .

If a=(2,5) and b=(1,4) , then vector parallel to (a+b) is

If a and b are position vector of two points A,B and C divides AB in ratio 2:1, then position vector of C is

The unit vector perendicular to the plane determined by P (1,-1,2) ,C(3,-1,2) is ________.

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 4x-2y-5z-2=0.

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 2 x-y+3z-5=0.

Consider a triangular pyramid ABCD the position vectors of whose agular points are A(3,0,1),B(-1,4,1),C(5,3, 2) and D(0,-5,4) Let G be the point of intersection of the medians of the triangle BCD. The length of the vector bar(AG) is