Question

Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, -2).

Answer 1

Hi friend!!

Let position vector of P will be 2i+3j+4k and Q will be 4i+j-2k

Then the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, -2) will be( P+Q)/2

=6i+4j+2k/2

=3i+2j+k

I hope this will help u ;)

Answer 2

$\bigstar$ Solution:

The position vector of mid-point R of the vector joining points P (2, 3, 4) and Q (4, 1, – 2) is given by,

$\vec{OR}\longrightarrow \frac{(2\hat{i}+3\hat{j}+4\hat{k})}{2}}= \frac{(2+4)\hat{i}+(3+1)\hat{j}+(4-2)\hat{k}}{2} \\\implies \frac{6\hat{i} + 4\hat{j} + 2\hat{k}}{2} = 3\hat{i} + 2\hat{j} + \hat{k}$