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Last updated at May 29, 2018 by Teachoo
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Supplementary Example 6 For any three vectors ∴ 𝑎, 𝑏, and 𝑐, prove that 𝑎 + 𝑏 𝑏+ 𝑐 𝑐+ 𝑎 = 2 [ 𝑎 , 𝑏, 𝑐] To prove 𝑎 + 𝑏 𝑏+ 𝑐 𝑐+ 𝑎 = 2 [ 𝑎 , 𝑏, 𝑐] Solving LHS 𝑎 + 𝑏 𝑏+ 𝑐 𝑐+ 𝑎 = ( 𝑎 + 𝑏). ( 𝑏+ 𝑐) × ( 𝑐+ 𝑎) = ( 𝑎 + 𝑏). ( 𝑏× 𝑐) + ( 𝑏× 𝑎)+( 𝒄× 𝒄) + ( 𝑐× 𝑎) = ( 𝑎+ 𝑏). 𝑏× 𝑐) + ( 𝑏× 𝑎 + 0 + ( 𝑐 × 𝑎) = 𝑎. ( 𝑏 × 𝑐) + 𝑏.( 𝑏 × 𝑐) + 𝑎. ( 𝑏 × 𝑎) + 𝑏.( 𝑏 × 𝑎) + 𝑎.( 𝑐 × 𝑎) + 𝑏.( 𝑐 × 𝑎) = 𝑎, 𝑏, 𝑐 + 𝒃, 𝒃, 𝒄 + 𝒂, 𝒃, 𝒂 + 𝒃, 𝒃, 𝒂 + 𝒂, 𝒄, 𝒂 + 𝑏, 𝑐, 𝑎 = 𝑎, 𝑏, 𝑐 + 0 + 0 + 0 + 0 + 𝑏, 𝑐, 𝑎 = 𝑎, 𝑏, 𝑐 + 𝒃, 𝒄, 𝒂 = 𝑎, 𝑏, 𝑐 + 𝒂, 𝒃, 𝒄 = 2 𝑎, 𝑏, 𝑐 = R.H.S Hence proved
Supplementary examples and questions from CBSE
Supplementary Example 2 Deleted for CBSE Board 2021 Exams only
Supplementary Example 3 Deleted for CBSE Board 2021 Exams only
Supplementary Example 4 Deleted for CBSE Board 2021 Exams only
Supplementary Example 5 Deleted for CBSE Board 2021 Exams only
Supplementary Example 6 Deleted for CBSE Board 2021 Exams only You are here
Supplementary Exercise Q1 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q2 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q3 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q4 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q5 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q6 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q7 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q8 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q9 Deleted for CBSE Board 2021 Exams only
Supplementary Exercise Q10 Deleted for CBSE Board 2021 Exams only
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