Question

The projection of vector î on the vector î + ĵ + 2k̂ is :

Write the projection of the vector (b + c) on the vector a, where a = 2î - 2ĵ + k̂, b = î + 2ĵ - 2k̂ and c = 2î - ĵ + 4k̂.

What is the value of (projection of a on b)/(projection of b on a) for vectors a = 2î – 3ĵ – 6k̂ and b = 2î – 2ĵ + k̂ ?

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.