Today in class we learned about vectors. We started off class by talking about numbers. We graphed the number 3 on a number line. We found out that you can graph 3 in two ways. The first way is the literal number 3 on a line, so we placed a closed circle on the number 3. The second way we learned was you can use 3 as a value, which is shown on the second number line. We drew closed circles on 2 and 5 and drew a line connecting the two points and drew an arrow showing the direction in which we went. This shows us the difference between a number and a value; one closed circle on the number 3 was the number and 2 closed circles on 2 and 5 was the value 3. We next learned about the Component Form of a vector which goes as follows:
x(with a hat) = (the numbers with the 'a' and 'b' are there for coordinates only)
First off, the "hat" over the x in the picture is there to show that we are dealing with a vector, but on tests vectors will be shown in bold face. Second, we learned that the angled brackets tell us that we are dealing with a vector quantity.
To use the Component Form of a vector, all you have to do is plug in the coordinates for 2 vectors and do the algebra to get your answer.
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