Answer:
a = 3 and b = -10.5
Step-by-step explanation:
We have the vector [tex]\begin{bmatrix}2\\7\end{bmatrix}[/tex]
First, this vector is dilated by a factor of 1.5
So, the new vector is,
[tex]1.5\times \begin{bmatrix}2\\7\end{bmatrix}[/tex]
i.e. [tex]\begin{bmatrix}1.5\times 2\\1.5\times 7\end{bmatrix}[/tex]
i.e. [tex]\begin{bmatrix}3\\10.5\end{bmatrix}[/tex]
Further, this vector is reflected across the x-axis.
So, the resulting vector is [tex]\begin{bmatrix}3\\-10.5\end{bmatrix}[/tex]
Thus, the value of 'a' and 'b' are 3 and -10.5 respectively.
