Vector Addition and Subtraction

Discussion

introduction

text

Begin

• Parallel vectors behave like numbers on a number line.
  • Add the magnitudes of vectors in the same direction.
  • Subtract the magnitudes of vectors in opposite directions.

Jump off the line.

• Perpendicular vectors behave like points on a coordinate plane.
  • Use Pythagorean theorem to determine magnitude.
  • Use the tangent function to determine direction.

More text

• Vectors can be arranged…
  • in standard position or
  • head to tail.

Don't forget the parallelogram rule.

• Parallelogram Rule.

Lots of vectors to be added.

• Vector addition is similar to arithmetic addition.
  • Vector addition is a binary operation. (Only two vectors can be added at a time.)
  • Vector addition is commutative. (The order of addition is unimportant.)

Conclude and get on with the sample problems.