Question

What is the dot product? U=-5,5,-5 v=6,5,-7

Answer 1

`\begin{gathered} u=<-5,5,-5> \\ v=<6,5,-7> \end{gathered}`

The dot product is given by:

`u\cdot v=u_1v_1+u_2v_2+\cdots+u_nv_n_{}`

therefore:

`\begin{gathered} u\cdot v=(-5\cdot6)+(5\cdot5)+(-5\cdot-7) \\ u\cdot v=-30+25+35 \\ u\cdot v=30 \end{gathered}`