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Linear Algebra, 2020a

Linear Algebra, 2020a

Linear Algebra, 2020a

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48 Chapter One. <strong>Linear</strong> Systems<br />

2.23 Show that if ⃗v ≠ ⃗0 then ⃗v/|⃗v | has length one. What if ⃗v = ⃗0?<br />

2.24 Show that if r 0 then r⃗v is r times as long as ⃗v. What if r0then the<br />

cosine of the angle between k⃗u and ⃗v equals the cosine of the angle between ⃗u and<br />

⃗v, and (2) if k

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