Ication Multiplying a vector with a real number (in this context, real numbers are referred to as scalars in order to distinguish them from vectors), is just like multiplying real numbers in that it represents repeated addition. Example: 2 · (3, 5) = (3,5) + (3, 5) = (6, 10) The effect of this multiplication is that the scalar multiple is applied to each component of the vector being multiplied. Practice Compute: 1. 5. (-3, –6) = 2. –8 . (-3, -6) = %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Scalar Multiplication
Multiplying a vector with a real number (in this context, real numbers are referred to as scalars in order to distinguish them
from vectors), is just like multiplying real numbers in that it represents repeated addition.
Example: 2 · (3, 5) = (3, 5) + (3, 5) = (6, 10)
The effect of this multiplication is that the scalar multiple is applied to each component of the vector being multiplied.
Practice
Compute:
1. 5· (-3, –6) =
2. –8. (-3, –6) =
Transcribed Image Text:Scalar Multiplication Multiplying a vector with a real number (in this context, real numbers are referred to as scalars in order to distinguish them from vectors), is just like multiplying real numbers in that it represents repeated addition. Example: 2 · (3, 5) = (3, 5) + (3, 5) = (6, 10) The effect of this multiplication is that the scalar multiple is applied to each component of the vector being multiplied. Practice Compute: 1. 5· (-3, –6) = 2. –8. (-3, –6) =
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