Find the scalar and vector projections of b onto a. a = (1, 3), b = (-7, 1) comp b proj₂b =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 45EQ
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Find the scalar and vector projections of b onto a.
= (1, 3), b = (-7, 1)
a =
comp b
proj₂b =
Transcribed Image Text:Find the scalar and vector projections of b onto a. = (1, 3), b = (-7, 1) a = comp b proj₂b =
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.

a=\begin{pmatrix}1&3\end{pmatrix},\:\quad \:b=\begin{pmatrix}-7&1\end{pmatrix}

find the magnitude of the vector a

|a|=\sqrt{1^2+3^2}

|a|=\sqrt{1+4}

|a|=\sqrt{5}

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