Find the position vector of a point R which divides the line joining two points `P(hati+2hatj-hatk) and Q(-hati-hatj+hatk)` in the ratio 2:1: internally

Find the position vector of a point R which divides the line joining two points P(hati-2hatj-hatk) and Q(-hati-hatj+hatk) in the ratio 2:1: externally

Find the position vector of a point R which divides the line joining the point P(hati + 2hatj - hatk) and Q(-hati + hatj + hatk) in the ratio 2 : 1 , (i) internally and (ii) externally.

Find the position vector of a point R which-divides the line joining two points P and Q whose position vectors are hati+2hatj-hatk and -hati+hatj+hatk respectively, in the ratio 2:1 Internally

Find the position vector of the mid-point of the vector joining the points A(3hati + 2hatj + 6hatk) and B(hati + 4hatj - 2hatk)

Position vectors of a point which divides line joining points A and B whose position vectors are 2hati+hatj-hatk and hati-hatj+2hatk externally in the ratio 5:2 is

The position vector of the point in which the line joining the points hati-2hatj+hatk and 3hatk-2hatj cuts the plane through the origin and the points 4hatj and 2hati+hatk is

Find the mid point of the ine segment joining the points P(2hati+3hatj+3hatk) and Q(4hati+hatj-2hatk)

The ratio in which the plane vecr.(hati-2hatj+3hatk)=17 divides the line joining points -2hati+4hatj+7hatk and 3hati-5hatj+8hatk is

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .