12-2 Vectors

This weekend I am going to teach you all about vectors. Vectors are the slope of a line. Vectors can be added and subtracted. There are a few things that you need to know about vectors before I show you all an example.
Notes:
• To add vectors: v + u = (a, b) + (c, d) = (a + c, b + d)
• To subtract vectors: v - u = (a, b) – (c, d) = (a - c, b – d)
• Scalar multiplication: kv = k * (a, b) = (ka, kb)
• To find a vector equation from two points, you do P2 - P1
• Vector equation: (x, y) = (x0, y0) + t (a, b)
• Parametric equations: x = x0 + at and y = y0 + bt
• To find the magnitude of a vector, you do |v| = sq. root of (x^2 + y^2)
• Component form is (r cos theta, r sin theta)

Example: If g=(2,6) and f=(7,1) find g+f and g-f
• (2+7,6+1) = (9, 7)
• (2-7, 6-1) = (-5, 5)

-Braxton-