Chapter 4.4, Problem 17PPS

(a)

To determine

To find: The translational matrix that Camilla can use to find the coordinates of the mall.

Answer to Problem 17PPS

The translational matrix is $\left[\begin{array}{c}3\\ 4\end{array}\right]$ .

Explanation of Solution

Given:

The coordinates of the intersection is $\left(5.5,7\right)$ .

The variation in the coordinates is 3 blocks East and 4 block to the north to reach the mall.

Calculation:

Consider the three blocks east is three blocks to the right and four blocks north is 4 units upward then the translational matrix is,

  $\left[\begin{array}{c}3\\ 4\end{array}\right]$

(b)

To determine

To find: The coordinates of the mall.

Answer to Problem 17PPS

The coordinate of the mall is $\left[\begin{array}{c}8.5\\ 11\end{array}\right]$ .

Explanation of Solution

Given:

The coordinates of the intersection is $\left(5.5,7\right)$ .

The variation in the coordinates is 3 blocks East and 4 block to the north to reach the mall.

Calculation:

Consider the translational matrix is,

  $\left[\begin{array}{c}3\\ 4\end{array}\right]$

Then, the coordinates of the mall is,

  $\left[\begin{array}{c}5.5\\ 7\end{array}\right]+\left[\begin{array}{c}3\\ 4\end{array}\right]=\left[\begin{array}{c}8.5\\ 11\end{array}\right]$