Question

Helppppppp please help help

Answer 1

The y-value of the terminal point of the vector is 3.

How to determine the resulting vector by applying rotation about the origin

In this question we must apply a matricial form of rotation, which is a kind of rigid transformation. This transformation is defined by the following formula:

$\vec A' = \vec T\cdot \vec A$, where $\vec A' , \vec A \in \mathbb{R}_{1 \times 2}$, $\vec T \in \mathbb{R}_{2 \times 2}$

If we knw that $\vec A = \left[\begin{array}{c}- 4\\3\end{array}\right]$ and $\vec T = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right]$, then the transformed vector column is:

$\left[\begin{array}{cc}x\\y\end{array}\right] = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right] \cdot \left[\begin{array}{cc}-4\\3\end{array}\right]$

$\left[\begin{array}{cc}x\\y\end{array}\right] = \left[\begin{array}{cc}4\\3\end{array}\right]$

The y-value of the terminal point of the vector is 3.

To learn more on rotations: brainly.com/question/12091224

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