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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2e65f2-c472-45bf-885c-00dffce84016%2Fd969fa1c-9960-4938-abf8-61ef92c34f43%2F2ncfwgd_processed.png&w=3840&q=75)
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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