32. a. Use definitions I and II below to prove that k[(a, b) + (c, d)] = k(a, b) + k(c, d). I. Definition of scalar multiple I1. Definition of vector addition b. Make a diagram illustrating what you proved in part (a). (ka, kb) (a, b) + (c, d) = (a + c, b + d) k(a, b) %3D

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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32. a. Use definitions I and II below to prove that
k[(a, b) + (c, d)] = k(a, b) + k(c, d).
I. Definition of scalar multiple
I1. Definition of vector addition
b. Make a diagram illustrating what you proved in part (a).
(ka, kb)
(a, b) + (c, d) = (a + c, b + d)
k(a, b)
%3D
Transcribed Image Text:32. a. Use definitions I and II below to prove that k[(a, b) + (c, d)] = k(a, b) + k(c, d). I. Definition of scalar multiple I1. Definition of vector addition b. Make a diagram illustrating what you proved in part (a). (ka, kb) (a, b) + (c, d) = (a + c, b + d) k(a, b) %3D
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