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=(opposite)/(adjacent)=(8)/(4) \\ tan\theta=2 \\ \theta=tan^(-1)(2)=63.43 \\ \theta=63^(\circ) \end{gathered}`