Adding Vectors Geometrically
DIRECTIONS:
Make a Prediction.
Thinking about your work above with the applet, can you come up with a generic expression about adding the vectors together?
General Vector Addition Practice.
These are the component forms of vectors and (3,5) =(1, -6) Add the vectors. (Your answer should be in ordered pair form.) + =
These are the component forms of vectors and (5, -4) =(-2, 3) Add the vectors. (Your answer should be in ordered pair form.) + =
If you are struggling Try this one:
These are the component forms of vectors and (3, -1) =(2, 3) To get the answer to +... Add their x values together and their y values together. Then just write then as an ordered pair as an answer.
Subtracting Vectors: Now that you have the hang of adding vectors together, try this applet which shows what happens when you subtract two vectors. When you think you have the right idea, try the practice problem.
Enrichment Opportunity
These are the component forms of vectors and (5, -4) =(-2, 3) This time subtract the vectors. (Your answer should be in ordered pair form.) - =
Here is an example of what vector multiplication looks like. Play with the applet and answer the questions at the bottom.
What is one thing that you notice about this applet and how it compares to the other two applets?
Do you think multiplying two vectors, would work the same as adding or subtracting them? Explain.
Need a Challenge? Try Vector Multiplication!
These are the component forms of vectors and (2, 3, 2) =(-5, 4, 3) Multiply the vectors. * =