Vectors

Things to know:

• Vectors are the slope of a line.
• They can be added or subtracted.
• Addition:  v + u = (a,b) + (c, d) = (a + c, b + d)
• Subtraction:  v - u = (a,b) - (c,d) = (a - c, b -d)
• Scalar Multiplication:  kv = k * (a,b) = (ka,kb)
• Find a vector equation from two points:  P2 - P1
• Vector equation:  (x,y) = (xo,yo) + t(a,b)
• Parametric equation:  x = xo + at and y = yo + bt
• Magnitude of a vector:  |v| = square root of (x^2 + y^2)
• Component form: (r cos theta, r sin theta)

Example:  A = (3, 10) and B = (9, 5), Find a + b

•  (3 + 9, 10 + 5) = (12,15)

Example: Find a - b

• (3 - 9, 10 - 5) = (-6,5)

Amber :)