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Introduction to Vectors: Understanding Direction and Magnitude

Explore the fundamental concepts of vectors, including scalar vs. vector quantities, notation, representation in 2D and 3D, and vector addition methods. Learn to differentiate vectors based on components and magnitudes. Engage in interactive quizzes to reinforce learning.

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Introduction to Vectors: Understanding Direction and Magnitude

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  1. Introduction to Vectors John Weisenfeld EDU6170, Summer 2011

  2. Introduction • Definition: • Scalar • Vector • Notation: , or just v is ambiguous, hard to differentiate bold/non-bold in notes. • Representation: • Arrow shows direction • Length is magnitude • Can also do in 3D, not just 2D.

  3. Question

  4. How did you get there?

  5. Question

  6. Tip-To-Tail,Commutative Property

  7. Question Zero

  8. Superimposing Coordinate Grid

  9. Which Vector has Positive X-Component and Negative Y-Component Green (b) Blue (a) Neither

  10. Which Vector has a Magnitude of 5? Green (b) Blue (a) Neither

  11. C O N G R A T U L A T I O N S • You now have a basic understanding of vectors!

  12. Closure / Summary • Today we have learned • Vectors have direction and magnitude. • They can be added in 3 ways • Tip-to-tail • Parallelogram • Component method • These components are very useful. • Before the quiz this week • Give me the top sheet of your handout • Follow the instructions to ExploreLearning and take the quiz up there.

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