Question

what is the magnitude and direction of the PQ with tail and head points p ( -6, 0) and q ( 2, 4 )?

Answer 1

Let's begin by identifying key information given to us:

$\begin{gathered} P(-6,0) \\ Q(2,4) \end{gathered}$

We will proceed to calculate the magnitude thus:

$\begin{gathered} |PQ|=\sqrt[]{8^2+4^2} \\ |PQ|=\sqrt[]{64+16} \\ |PQ|=\sqrt[]{80} \end{gathered}$

We will proceed to calculate the direction:

$\begin{gathered} OR=(2--6,4-0) \\ OR=(8,4) \\ tan\theta=\frac{opposite}{adjacent}=\frac{8}{4} \\ tan\theta=2 \\ \theta=tan^{-1}(2)=63.43 \\ \theta=63^{\circ} \end{gathered}$