- 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: <2,3>-<5,1>
- 2-5=-3
- 3-1=2
- Your answer is going to be <-3,2>
BRAD
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