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Supplementary examples and questions from CBSE
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Supplementary examples and questions from CBSE
Last updated at May 29, 2023 by Teachoo
Supplementary Exercise Q3 Find the volumes of the following parallelepipeds whose three co βterminus edges are (i) π β = 2π Μ β 3π Μ + 4π Μ, π β = 3π Μ β π Μ + 2π Μ, and π β = π Μ + 2π Μ β π Μ, Given, π β = 2π Μ β 3π Μ + 4π Μ , π β = 3π Μ β π Μ + 2π Μ , π β = π Μ + 2π Μ β π Μ Volume of parallelepiped = [π β" " π β" " π β ] = |β 8(2&β3&4@3&β1&2@1&2&β1)| = 2[(β1Γβ1)β(2Γ2) ] β (β3) [(3Γβ1)β(1Γ2) ] + 4[(3Γ2)β(1Γβ1)] = 2 [1β4]+3(β3β2)+4[6+1] = 2(β3) + 3 (β5) + 4(7) = β6 β 15 + 28 = 7 Supplementary Exercise Q3 Find the volumes of the following parallelepipeds whose three co βterminus edges are (ii) π β = π Μ β 2π Μ + 3π Μ, π β = 2π Μ + π Μ β π Μ, and π β = 2π Μ + π Μ β π Μ, Given, π β = π Μ β 2π Μ + 3π Μ , π β = 2π Μ + π Μ β π Μ , π β = 2π Μ + π Μ β π Μ Volume of parallelepiped = [π β" " π β" " π β ] = |β 8(1&β2&3@2&1&β1@2&1&β1)| = 1[(1Γβ1)β(1Γβ1)] β (β2) [(2Γβ1)β(2Γβ1)] + 3[(2Γ1)β(2Γ1)] = 1 [β1+1]+2(β2+2)+3[2β2] = 1(0) + 2 (0) + 3(0) = 0