MCQ
With respect to a rectangular cartesian coordinate system, three vectors are expressed as $\vec{a}=4 \hat{i}-\hat{j}, \vec{b}=-3 \hat{i}+2 \hat{j}$ and $\vec{c}=-\hat{k}$ where $\hat{i}, \hat{j}, \hat{k}$ are unit vectors, along the $X, Y$ and $Z$-axis respectively. The unit vectors $\hat{r}$ along the direction of sum of these vector is
- ✓$\hat{r}=\frac{1}{\sqrt{3}}(\hat{i}+\hat{j}-\hat{k})$
- B$\hat{r}=\frac{1}{\sqrt{2}}(\hat{i}+\hat{j}-\hat{k})$
- C$\hat{r}=\frac{1}{3}(\hat{i}-\hat{j}+\hat{k})$
- D$\hat{r}=\frac{1}{\sqrt{2}}(\hat{i}+\hat{j}+\hat{k})$
