If (x, y, z) ≠ (0, 0, 0) And    then The Values Of a are

If the position vector of the three points are ,

 then the three points are 

Three points with position vectors  will be collinear, if there exist scalars x, y, z such that   

The position vectors of the vertices A, B, C of a âˆ†ABC are  respectively. The length of the bisector AD of the angle ∠BAC where D is on the line segment BC, is     

Consider points A, B, C and D with position vectors 

 respectively. Then, ABCD is a   

If the vectors  are the sides of a âˆ†ABC, then length of the median through A is 

The sides of a parallelogram are  then the unit vector parallel to one of the diagonals is 

If the points  are collinear, where  are three non-coplanar vectors, the value of t is 

A vector coplanar with vectors  and parallel to the vector  

Let the coordinates of a point P with respect to a system of non-coplanar vectors  be (3, 2, 1). Then, the coordinates of P with respect to the system of vectors  and 

The vector  lies in the plane of the vectors  bisects the angle between . Then , which one of the following gives the possible values of α and β?