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Example 26 (Supplementary NCERT) Deleted for CBSE Board 2023 Exams

Example 27 (Supplementary NCERT) Deleted for CBSE Board 2023 Exams

Example 28 (Supplementary NCERT) Important Deleted for CBSE Board 2023 Exams You are here

Example 29 (Supplementary NCERT) Important Deleted for CBSE Board 2023 Exams

Example 30 (Supplementary NCERT) Important Deleted for CBSE Board 2023 Exams

Example 31 (Supplementary NCERT) Important Deleted for CBSE Board 2023 Exams

Last updated at May 6, 2021 by Teachoo

Example 28 (Supplementary NCERT) Find π if the vectors π β = π Μ + 3π Μ + π Μ, π β = 2π Μ β π Μ β π Μ and π β = ππ Μ + 7π Μ + 3π Μ are coplanar.Three vectors π β, π β, π β are coplanar if [π β" " π β" " π β ] = 0 Given, π β = π Μ + 3π Μ + π Μ π β = 2π Μ β π Μ β π Μ π β = Ξ»π Μ + 7π Μ + 3π Μ [π β" " π β" " π β ] = |β 8(1&3&[email protected]&β1&β[email protected]π&7&3)| 0 = 1[(β1Γ3)β(7Γβ1) ] β 3[(2Γ3)β(Ξ»Γβ1) ] + 1[(2Γ7)β(Ξ»Γβ1) ] 0 = 1 [β3β(β7)]β3[6β(βΞ»)]+1[14β(βΞ»)] 0 = 1 [β3+7]β3[6+Ξ»]+1[14+Ξ»] 0 = 4 β 18 β 3Ξ» + 14 + Ξ» 0 = 18 β 18 β 3Ξ» + Ξ» 0 = β 2Ξ» β2Ξ» = 0 Ξ» = 0/(β2) π = 0 Therefore, π β,π,π β are coplanar if Ξ» = 0