Rotate the vector -5,7 180 degrees about the origin

⟨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⟩.

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

answer: the answer is 40.82

step-by-step explanation: 3.14 x 13(or half of 26) to the power of 2