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 = \[\frac{3 \hat{i} + 4 \hat{j} - 2 \hat{k} + \hat{i} + 2 \hat{j} + 4 \hat{k}}{2}\]
\[= \frac{4 \hat{i} + 6 \hat{j} + 2 \hat{k}}{2} \]
\[ = 2 \hat{i} + 3 \hat{j} + \hat{k} \]