further core pure Flashcards
1
Q
α² + β²
A
(α+β)² - 2αβ
2
Q
α³ + β³
A
(α+β)³ - 3αβ (α+β)
3
Q
define the imaginary number i
A
√-1
4
Q
complex conjugate of 4+3i
A
4-3i
5
Q
α² + β² + γ²
A
(α+β+γ)² + 2(αβ+αγ+βγ)
6
Q
cartesian form of a line in terms of vectors
A
λ = (x-a₁)/b₁ = (y-a₂)/b₂ = (z-a₃)/b₃
7
Q
angle between 2 vectors formula
A
t * v = |t| |v| cosθ
8
Q
a * b if a and b are perpendicular
A
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