If and are the position vectors of A and B, respectively, find the position vector of a point C in BA produced such that BC = 1.5 BA.

Question

Philoid · Accepted Answer

We have been given that,

Position vector of A

Position vector of B

Here, O is the origin.

We need to find the position vector of C, that is, .

Also, we have

…(i)

Here,

Position vector of C-Position vector of B

…(ii)

And,

Position vector of A-Position vector of B

…(iii)

Substituting equation (ii) and (iii) in equation (i), we get

[∵ it is given that ]

Thus, position vector of point C is .