Question

Complete the transformation on the vector shown and choose the resulting vector

Answer 1

The answer is A. [-4/3]

For the second part the answer is a rotation 90 CCW about origin

Hope this helped!

Answer 2

The correct option is B.

Explanation:

From the given graph it is clear the x-coordinate of the vector is 3 and y-coordinate of the vector is 4 in the coordinate plane.

The given vector can be defined as

`A=\begin{bmatrix}3 & 4\end{bmatrix}`

Translation vector is

`B=\begin{bmatrix}0 & -1\\ 1 & 0\end{bmatrix}`

We need to find the resulting vector,

`AB=\begin{bmatrix}3 & 4\end{bmatrix}\cdot \begin{bmatrix}0 & -1\\ 1 & 0\end{bmatrix}`

`AB=\begin{bmatrix}3(0)+4(1) & 3(-1)+4(0)\end{bmatrix}`

`AB=\begin{bmatrix}4& -3\end{bmatrix}`

Therefore the correct option is B.