algebra

El juego de matemáticas presenta símbolos como ______, 2, 3, 𝑛.

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Apuntes

ℝ 2 ℝ 3 ℝ 𝑛 𝑎 ̅ 𝑏 ̅ 𝑎 ̅ 𝑎 ̅ 𝑏 ̅ 𝑎 ̅ 𝑎 ̅ 𝑏 ̅ 𝑎 + 𝑏 ̅ ̅ ̅ ̅ ̅ ̅ ̅ • 𝑎 ̅ = 𝑎 ′ ̅ , 𝑏 ̅ = 𝑏 ′ ̅ ⇔ 𝑎 ̅ + 𝑏 ̅ = 𝑎 ′ ̅ + 𝑏 ′ ̅ • ( 𝑎 ̅ + 𝑏 ̅ ) + 𝑐 ̅ = 𝑎 ̅ + ( 𝑏 ̅ + 𝑐 ̅ ) • 𝑎 ̅ + 𝑏 ̅ = 𝑏 ̅ + 𝑎 ̅ • 0 ̅ + 𝑎 ̅ = 𝑎 ̅ + 0 ̅ = 𝑎 ̅ • 𝑎 ̅ + ( − 𝑎 ̅ ) = 0 ̅ 𝑎 ̅ 𝜆 𝑎 ̅ ∗ 𝜆 𝑎 ̅ 𝜆 𝑎 ̅ 𝑎 ̅ 𝜆 𝜆 • ( 𝜆 + 𝜎 ) = 𝜆 𝑎 ̅ + 𝜎 𝑎 ̅ • 𝜆 ( 𝑎 ̅ + 𝑏 ̅ ) = 𝜆 𝑎 ̅ + 𝜆 𝑏 ̅ • 𝜆 ( 𝜎 𝑎 ̅ ) = ( 𝜆𝜎 ) 𝑎 ̅ = 𝜎 ( 𝜆 𝑎 ̅ ) • 1 𝑎 ̅ = 𝑎 ̅ ℝ 𝟐 𝑎 ̅ ( 𝑥 0 ; 𝑦 0 ) ( 𝑥 1 ; 𝑦 1 ) ( 𝑎 1 ; 𝑎 2 ) 𝑎 1 = 𝑥 1 − 𝑥 0 𝑎 2 = 𝑦 1 − 𝑦 0 | 𝑎 ̅ | 2 = 𝑎 1 2 + 𝑎 2 2 ⇒ | 𝑎 ̅ | = √ 𝑎 1 2 + 𝑎 2 2 𝑖 ̅ 𝑗 ̅ 𝑖 ̅ = ( 1 ; 0 ) 𝑗 ̅ = ( 0 ; 1 ) 𝑎 ̅ = 𝑎 𝑥 𝑖 ̅ + 𝑎 𝑦 𝑗 ̅ ⟶ ℝ 𝟐 𝑥 𝑦 𝛼 𝛽 𝑎 ̅ = ( 3 ; 2 ) = 3 𝑖 ̅ + 2 𝑗 ̅ cos 𝛼 = 𝑎 1 | 𝑎 ̅ | cos 𝛽 = 𝑎 2 | 𝑎 ̅ | cos 2 𝛼 = 𝑎 1 2 | 𝑎 ̅ | 2 cos 2 𝛽 = 𝑎 2 2 | 𝑎 ̅ | 2 cos 2 𝛼 + cos 2 𝛽 = 𝑎 1 2 + 𝑎 2 2 | 𝑎 ̅ | 2 = | 𝑎 ̅ | 2 | 𝑎 ̅ | 2 = 1 ℝ 𝟑 𝑃 ( 𝑥 𝑃 , 𝑦 𝑃 , 𝑧 𝑃 ) 𝐹 ( 𝑥 𝐹 , 𝑦 𝐹...

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