Question

Let u = PQ be the directed line segment from P(0,0) to Q(9,12). What is |u|

Answer 1

We need to find the modulus of the given vector:

The modulus is given by the square root of the square x-coordinate plus the square y-coordinate.

The vector is given by the origin. Hence, the x-coordinate is 9 and the y-coordinate is 12.

Then:

$\begin{gathered} \lvert{u}\rvert=\sqrt{9^2+12^2} \\ \lvert{u}\rvert=\sqrt{81+144} \\ \lvert{u}\rvert=\sqrt{225} \\ \lvert{u}\rvert=15 \end{gathered}$

Therefore, the correct answer is 15.