what are the components of a vector? what if the initial point is not (0,0)? given a vector v and a scalar k, what is kv (geometrically and algebraically)? -v?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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2)Lineal Algebra subject 

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what are the components of a vector? what if the initial point is not (0,0)?
given a vector v and a scalar k, what is kv (geometrically and algebraically)? -v?
Transcribed Image Text:what are the components of a vector? what if the initial point is not (0,0)? given a vector v and a scalar k, what is kv (geometrically and algebraically)? -v?
Expert Solution
Step 1

A scalar is a real number. A scaler is a single, independent number. 

A vector is a ordered collection of scalars. A vector can have n number of scalars or numbers in it. Here n can be any integer value.

 

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