This week in preparation for the oh-so-lovely trig exam that will be starting Friday, we learned about vectors. They aren’t very exciting I can promise you that. Anyway, on with the blog.

Time for some 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:
Simplify the following: U+V when U= <3,7> and V= <8,9>
Add the corresponding numbers U+V= <3+8,7+9>
Therefore, in the end, your answer is U+V= <11, 16>

--Sarah