Supplementary Exercise Q3
Last updated at Aug. 24, 2021 by Teachoo
Last updated at Aug. 24, 2021 by Teachoo
Transcript
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
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Supplementary examples and questions from CBSE
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