MAC1114 Lecture Notes - Lecture 17: Pythagorean Theorem, Scalar Multiplication

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Provide a generalization to each of the key terms listed in this section. The a in the ordered pair of (a, b) would be considered the vector"s scalar horizontal component whereas the b in the ordered pair of (a, b) would be considered the vector"s scalar vertical compo- nent. When you are dealing with scalars, the quantities are explained in numerical quantity rather than the common vector quantity, which can be considered a component form. When both a and aren"t vectors while shouldn"t be mistaken for the vector"s component de nition. The component form of the line segment, which notes that both a = (x1, y1) while b = (x2, y2), would be explained by the following: Ab =< 3 2, 2 1 > When you have the vectors that are in component form, then you are able to restate its de nition; a vector"s length is simple to gure out when the vector"s components are reliable.

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