Linear Combination
w = αv₁ + βv₂ in
R
³
Vectors
v₁
x
y
z
v₂
x
y
z
Coefficients
α
1.00
β
1.00
Result w = αv₁ + βv₂
Legend
v₁ (reference)
αv₁
v₂ (reference)
βv₂
parallelogram
w = αv₁ + βv₂
span{v₁, v₂}
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Axes labelled x, y, z