Question

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

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→.

An instructor at the astronomical centre shows three among the brightest stars in a particular constellation. Assume that the telescope is located at O(0, 0, 0) and the three stars have their locations at the points D, A and V having position vectors 2î + 3ĵ + 4k̂, 7î + 5ĵ + 8k̂ and –3î + 7ĵ + 11k̂ respectively.

The position vectors of three consecutive vertices of a parallelogram ABCD are A(4î + 2ĵ − 6k̂), B(5î − 3ĵ + k̂) and C(12î + 4ĵ + 5k̂). The position vector of D is given by