Example 31 (Supplementary NCERT) - Chapter 10 Class 12 Vector Algebra

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Example 31 (Supplementary NCERT) - Prove [a b c+d] = [a b c] + [a b d]

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Example 31 (Supplementary NCERT) Prove that [𝑎 ⃗, 𝑏 ⃗, 𝑐 ⃗+𝑑 ⃗ ] = [𝑎 ⃗, 𝑏 ⃗, 𝑐 ⃗ ] + [𝑎 ⃗, 𝑏 ⃗, 𝑑 ⃗ ]Solving LHS [𝑎 ⃗, 𝑏 ⃗, 𝑐 ⃗+𝑑 ⃗ ] = 𝑎 ⃗ . ["(" 𝑏 ⃗") " × "(" 𝑐 ⃗+𝑑 ⃗)] = 𝑎 ⃗ .["(" 𝒃 ⃗ × 𝒄 ⃗") + (" 𝒃 ⃗ × 𝒅 ⃗) ] = 𝑎 ⃗ .["(" 𝑏 ⃗ × 𝑐 ⃗")" ] + 𝑎 ⃗ .["(" 𝑏 ⃗ × 𝑑 ⃗)] = [𝑎 ⃗", " 𝑏 ⃗", " 𝑐 ⃗ ] + [𝒂 ⃗", " 𝒃 ⃗", " 𝒅 ⃗ ] = RHS Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo