[LIFESCI 30A] - Final Exam Guide - Everything you need to know! (24 pages long)

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29 Nov 2016
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Abstractly, a vector is a quantity that has just a direction and a length (magnitude). In particular, a vector does not have to have a position in space. One way to thin of adding vectors is state vector + change vector = (later) state vector. Scaling a vector, i. e. scalar multiplying a vector: Scalar multiplication geometrically: (some direction twice as long) To draw a state vector as an arrow instead of as a point, always draw it starting at the origin. The state that it represents is the point at the tip of the arrow. Later state = starting state + change vector. [this also means that change vector = (later state) - (starting state) We started with the idea that earlier state + change vetor = later state (or equivalently change vector = later state - earlier state) But we saw that doesn"t quite give us the right trajectories.