Find the angle between the vector 

Find the value of 'p' for which the vectors  are parallel.

If the cartesian equations of a line are  write the vector equation for the line. 

Show that the four points A, B, C and D with position vectors
 respectively are coplanar.

The scalar product of the vector  with a unit vector along the sum of vectors  is equal to one. Find the value of  and hence find the unit vector along 

Find the distance of the point (2, 12, 5) from the point of intersection of the line 

318.

If a unit vector  and  are two equal vectors, then write the value of x+y+z.

If a unit vector  makes angle  then find the value of .

If  are two vectors such that  then prove that vector  is perpendicular to vector