Question

Vector components of the vector with initial points $(2,1)$ and terminal point $(-5,7)$ are

• A. $-6\hat{i}+7\hat{j}$
• B. $-7\hat{i}+6\hat{j}$
• C. $-6\hat{i}-7\hat{j}$
• D. None

Answer 1

The correct option is B $-7\hat{i}+6\hat{j}$

Let $A(2,1)$ be the initial point and $B(-5,7)$ be the terminal point $=\overrightarrow{AB}=(x_2-x_1)\hat{i}+y_2-y_1\hat{j}=-7\hat{i}+6\hat{j}$
Therefore, the vector components are $-7\hat{i}$ and $6\hat{j}$.