|definition||a quantity that has
|a quantity that has both
magnitude and direction
|up, down, left, right
north, east, west, south
positive, negative (in a coordinate system)
angle of inclination, depression
angle with the vertical, horizontal
right ascension, declination
proper time (relativistic)
electric, magnetic, gravitational fields
vector addition, vector subtraction
resultant (Σ), change (Δ)
dot product (·), cross product (×)
|answers||a number with a unit||a number with a unit and a direction angle
a number with a unit along each coordinate axis
an arrow drawn to scale in a specific direction
- 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.
- 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.