Question

The position vectors of points P and Q are p⃗ and q⃗ respectively. The point R divides line segment PQ in the ratio 3 : 1 and S is the mid-point of line segment PR. The position vector of S is :

Position vector of the mid-point of line segment AB is 3î + 2ĵ - 3k̂. If position vector of the point A is 2î + 3ĵ - 4k̂, then position vector of the point B is

If ABCD is a parallelogram and AC→ and BD→ are its diagonals, then AC→ + BD→ is :

Position vectors of the points A, B and C as shown in the figure below are a→, b→ and c→ respectively. If AC→ = 5/4 AB→, express c→ in terms of a→ and b→.