Worksheet Worksheet 5
1.
We've considered arithmetic as movement on the number line. But it turns out that we can do the same thing on the coordinate plane. But rather than using a single number, we use a pair of numbers to indicate motion in the horizontal and vertical directions. Here are a couple different vectors.
In the same way that addition with a movement diagram was simply doing one movement followed by another one, addition of vectors can be thought of as doing one movement followed by another one. With this concept in mind, sketch a picture of \(\langle 2, 3 \rangle + \langle -4, -2 \rangle\) on the grid and then compute the result.
2.
Based on the ideas in this section, what do you think \(- \langle 1, 5 \rangle\) means? How would you justify or explain your idea?