4.4. Suppose that u = (1,3) and v = (3, 1). %3D (a) Sketch the points ļu + žv, ļu + ļv, and u + tv. (b) Draw the line of all linear combinations cu + dv with e + d = 1. (c) Sketch ļu+ jv and u+žv. Draw the line of all linear combinations си + св.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.4: Translating Words Into Symbols
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4.4. Suppose that u =
(1,3) and v =
(3, 1).
(a) Sketch the points tu + v, ļu + v, and u + tv.
(b) Draw the line of all linear combinations cu + dv with c+ d = 1.
(c) Sketch u+v and u+v. Draw the line of all linear combinations
си + сv.
(d) Shade all combinations cu + dv for 0 <c< 1 and 0 < d < 1.
(e) Sketch the "cone" of combinations cu + dv for c >0 and d > 0.
Transcribed Image Text:4.4. Suppose that u = (1,3) and v = (3, 1). (a) Sketch the points tu + v, ļu + v, and u + tv. (b) Draw the line of all linear combinations cu + dv with c+ d = 1. (c) Sketch u+v and u+v. Draw the line of all linear combinations си + сv. (d) Shade all combinations cu + dv for 0 <c< 1 and 0 < d < 1. (e) Sketch the "cone" of combinations cu + dv for c >0 and d > 0.
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