![Example 31 (Supplementary NCERT) - Prove [a b c+d] = [a b c] + [a b d]](https://d1avenlh0i1xmr.cloudfront.net/0ae05fc1-7cb5-4126-aa91-d5450ced9afe/slide11.jpg)
Example 31 (Supplementary NCERT) - Chapter 10 Class 12 Vector Algebra
Last updated at April 16, 2024 by Teachoo
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Transcript
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
