Find the corordinates of the terminal point of the position vector which is equivalent to `vec PQ` where P(2,6), Q(-1,2).

Find the position vector of the mid point of the vector joining the points P(2,3,4), Q(4,1,-2)

Find the unit vector in the direction of vector vec PQ ,P(1,2,3) and Q(5,6,7 )

Find the position vector of the mid-point of the vector joining the points P(2,3,4) and Q(4,1,-2).

Find the position vector of the mid-point of the vector joining the points P (2, 3, 4) and Q (4, 1, 2)

The position vector of the point which divides the join of points with position vectors vec a+vec b and 2vec a-vec b inthe ratio 1: 2 is

Find the vector with initial point P(-4,2) and terminal point Q(0,-4).

Find the points on the line segment PQ situated at 2/3 of the distance from the initial point P to the final point Q, where P=(3,1,7),Q=(-2,5,3) .

If position vector of mid point of vector joining the point P(8,3,4) and Q(4,7,-2) is

Find the vector equation of a line passing through a point with position vector 2hati-hatj+hatk and parallel t the line joining the points with position vectors -hati+4hatj+hatk and hati+2hatj+2hatk . Also, find the cartesian equivalent of the equation.