Question

Find the position vector of the mid-point of the line segment AB, where A is the point (3, 4, −2) and B is the point (1, 2, 4).

Answer 1

Given: A (3, 4, −2) and B(1, 2, 4)
Let C is the mid point of AB
∴ Position vector of C =$\frac{3\hat{i}+4\hat{j}-2\hat{k}+\hat{i}+2\hat{j}+4\hat{k}}{2}$
$$\begin{gathered} =\frac{4\hat{i}+6\hat{j}+2\hat{k}}{2} \\ =2\hat{i}+3\hat{j}+\hat{k} \end{gathered}$$