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The position vector of a point $P(x,y,z)$ in three-dimensional space is given by
A$x+y+z$
B$x\mathbf{i}+y\mathbf{j}+z\mathbf{k}$
C$xy\mathbf{i}+yz\mathbf{j}+zx\mathbf{k}$
D$\langle \mathbf{i},\mathbf{j},\mathbf{k}\rangle$
Answer & Solution
Correct 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.
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