Question

If the position vectors of the points A and B are $c = (2 - 2,4)$ and $3\mathbf{i} - \mathbf{j} - 3\mathbf{k},$ then what will be the position vector of the mid point of AB

• A. $\mathbf{i} + 2\mathbf{j} - \mathbf{k}$
• B. $2\mathbf{i} + \mathbf{j} - 2\mathbf{k}$
• C. $2\mathbf{i} + \mathbf{j} - \mathbf{k}$
• D. $\mathbf{i} + \mathbf{j} - 2\mathbf{k}$

Answer 1

Answer: (B)

$2\mathbf{i} + \mathbf{j} - 2\mathbf{k}$

Answer 2

$\frac{3\mathbf{i} - \mathbf{j} - 3\mathbf{k} + \mathbf{i} + 3\mathbf{j} - \mathbf{k}}{2} = 2\mathbf{i} + \mathbf{j} - 2\mathbf{k}.$