If The Points  are Collinear, Where  are Three Non-coplanar Vectors, The Value Of T Is 

Given that the vectors  are non-collinear, the values of x and yfor which the vector equality  holds true if  are  

Let  be three non-zero vectors, no two of which are collinear. If the vector  is collinear with  is collinear with  is equal to 

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 

A vector coplanar with vectors  and parallel to the vector