Question

Which expression gives the magnitude of the position vector \[\vec{OP}\] for \[P(x,y,z)\]?

Options

• \[|\vec{OP}|=\sqrt{x^2+y^2+z^2}\]

• \[|\vec{OP}|=\sqrt{x+y+z}\]

• \[|\vec{OP}|=x+y+z\]

• \[|\vec{OP}|=x^2+y^2+z^2\]

Answer 1

For \[P(x,y,z)\], the magnitude of the position vector is \[|\vec{OP}|=\sqrt{x^2+y^2+z^2}\]. The coordinates are squared, added, and then square-rooted.