Question

What is the magnitude of \[\vec{PQ}=-3\hat{i}-5\hat{j}-4\hat{k}\]?

Options

• \[50\]

• \[\sqrt{50}\]

• \[12\]

• \[\sqrt{34}\]

Answer 1

The magnitude is \[\sqrt{(-3)^2+(-5)^2+(-4)^2}\]. Therefore, it equals \[\sqrt{9+25+16}=\sqrt{50}\].