The position vector of a point $P(x,y,z)$ in three-dimensional space i…

Question

The position vector of a point $P(x,y,z)$ in three-dimensional space is given by

Accepted Answer

B. $x\mathbf{i}+y\mathbf{j}+z\mathbf{k}$

By definition, the position vector of $P(x,y,z)$ is $\mathbf{r}=\langle x,y,z\rangle=x\mathbf{i}+y\mathbf{j}+z\mathbf{k}$. The other options do not represent the coordinate vector from the origin to the point.

Answer

$x+y+z$

Answer

$xy\mathbf{i}+yz\mathbf{j}+zx\mathbf{k}$

Answer

$\langle \mathbf{i},\mathbf{j},\mathbf{k}\rangle$