MATH136 Lecture 7: Lecture 7.pdf

• School: University of Waterloo
• Department: Mathematics
• Course: MATH136
• Professor: Robert Sproule

Document Summary

Suppose we are given a vector b in 2 and another vector a. 7. 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 perp b onto a ). So vector p = proja(b) is a scalar multiple of the directed line segment a. space. 7. 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). 7. 2. 1 example consider the vector b = ( 4, 3) and let a = (2, 0).