Find the indicated quantity, given u = (0, -2), v = (-3, 0),Step 1 of 4: Find y • v.

Question

asked Nov 12, 2023 228k views

1 Answer

Nazmul Haque · Answer 1 · 2023-11-17T08:37:58+0000

Given the vectors:

$\begin{gathered} u=\langle0,-2) \\ v=\langle-3,0\rangle \end{gathered}$

You need to apply Dot Product in order to find:

$v\cdot v$

By definition, for:

$\begin{gathered} A=\langle a_x,a_y\rangle \\ B=\langle b_x,b_y) \end{gathered}$

The Dot Product is:

$A\cdot B=a_xb_x+a_yb_y$

In this case, you are multiplying the same vector by itself. Then, by definition:

$v\cdot v=|v|^2$

Hence:

$\begin{gathered} v\cdot v=(-3)(-3)+(0)(0) \\ v\cdot v=9 \end{gathered}$

Hence, the answer is:

$v\cdot v=9$