Question

Find the indicated quantity, given u = (0, -7), v = (5, -8).Step 4 of 4 : Find (u • v)4v.

Answer 1

Recall that:

`\begin{gathered} \cdot=xv+yw, \\ a=. \end{gathered}`

Then:

`\begin{gathered} u\cdot v=0*5+(-7_)*(-8)=0+56 \\ =56. \end{gathered}`

Then:

`(u\cdot v)4v=56*4<5,-8>.`

Simplifying the above result we get:

`\begin{gathered} 56*4<5,-8>=224<5,-8>=<224*5,224*(-8)> \\ =<1120,-1792>. \end{gathered}`

Answer:

`\begin{equation*} <1120,-1792>. \end{equation*}`