Review Note
Last Update: 07/19/2023 11:15 PM
Current Deck: Strang, Gilbert; Introduction to Linear Algebra (2016)
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Commit #5658
Which area contains the vectors \(cv + dw\) where \(c + d = 1\)?
Back
Commit #5658
The line that passes through \(v\) and \(w\) (for example, set \(c = 1, d = 0\) and \(c = 0, d = 1\)).
All points that lie on this line are of the form: \(v+a(w-v); c\epsilon R\), i.e. of the form \((1-a)v + aw.\)
All points that lie on this line are of the form: \(v+a(w-v); c\epsilon R\), i.e. of the form \((1-a)v + aw.\)
Back
Commit #5659
The line that passes through \(v\) and \(w\) (for example, set \(c = 1, d = 0\) and \(c = 0, d = 1\)).
All points that lie on this line are of the form:
\(v+a(w-v); a\epsilon R\),
i.e. of the form \((1-a)v + aw.\)
All points that lie on this line are of the form:
\(v+a(w-v); a\epsilon R\),
i.e. of the form \((1-a)v + aw.\)