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Vector notation, addition, subtraction, scalar multiplication

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"N 607. Use relations involving addition, subtraction, and scalar multiplication of vectors and of matrices" "N 701. Analyze and draw conclusions based on number concepts"

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"N 607. Use relations involving addition, subtraction, and scalar multiplication of vectors and of matrices"
"N 701. Analyze and draw conclusions based on number concepts"

What you'll learn

  1. Find a resultant displacement or net force by adding, subtracting, and scaling vectors in component form, choosing the operation a problem's wording calls for
  2. Write a vector in component form `<a, b>` from a diagram, from two endpoints, or from a verbal description, and distinguish the vector `<3, 4>` from the point `(3, 4)`
  3. Add and subtract vectors componentwise and draw each result tip-to-tail, including `u - v` as the arrow from the tip of `v` to the tip of `u`
  4. Multiply a vector by a scalar, stating separately what happens to its length and to its direction, and evaluate a linear combination such as `2u - 3v`
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