Question

Hello! Vectors u and v are shown in the graph. What is -3(u x v)?

Answer 1

Step-by-step explanation

The values of the vectors are shown below

Thus

`\begin{gathered} u=(6,5) \\ v=(-6,-10) \end{gathered}`

Thus to get -3(u.v) will be

`\begin{gathered} step\text{ 1} \\ find\text{ the dot product} \\ u.v=6(-6)+5(-10) \\ u.v=-36-50 \\ u.v=-86 \end{gathered}`

The next step will be

`\begin{gathered} -3(u.v)=-3*-86=258 \\ \\ -3(u.v)=258 \end{gathered}`

The answer will be