MATH115 Lecture 4: lect115_4_f14
10 Oct 2015
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Suppose we are given a vector b in 2 and another vector a. 4. 2 definition let b be a vector in 2 or 3 and let a be any other vector in the same point on the line l = {ta : t } which is the closest to b. If in 2, we have defined p = proja(b) so that the points (0, 0), p, and b form a right. P is denoted by perpab. (this expression is pronounced perpab onto a ). So vector p = proja(b) is a scalar multiple of the directed line segment a. space. 4. 1 projections occasionally, one might want to express a vector x as a sum of two orthogonal vectors (perpendicular vectors), called orthogonal component vectors of x. triangle. (the directed line segment of b forming the hypotenuse). So proja(b) is a vector used to decompose the vector b into a sum of two orthogonal vectors proja(b) and perpa(b).
