Question

If \[P(x,y,z)\] is a point, what is its position vector?

Options

• \[\vec{OP}=x\hat{i}+y\hat{j}\]

• \[\vec{OP}=\sqrt{x^2+y^2+z^2}\]

• \[\vec{OP}=x\hat{i}+y\hat{j}+z\hat{k}\]

• \[\vec{OP}=x\hat{i}-y\hat{j}-z\hat{k}\]

Answer 1

The position vector of the point \[P(x,y,z)\] has components along the x-, y-, and z-axes. Therefore, \[\vec{OP}=x\hat{i}+y\hat{j}+z\hat{k}\].