Answer:
⟨5,-7⟩
Context & Step by Step Explanation:
Since a vector is a list of numbers ordered in a column or row, you can place the given numbers into a matrix calculator. A matrix is a list of organized numbers in multiple columns or rows.
Step 1:
Using the Desmos matrix calculator, make a matrix of one row and two columns. Insert the following numbers as if you were placing the coordinates in a graph. Place the negative five into the X placement and seven into the Y placement.
Step 2:
Then make another matrix with two rows and two columns. On the top row, place the negative one first and zero next to it. On the bottom row, place a zero first and a negative one next to it. It's the formula for rotating a matrix at 180 degrees.
Step 3:
Multiply the first and second matrices, and you'll get the answer, ⟨5,-7⟩.
