Supplementary Exercise Q3
Last updated at April 16, 2024 by Teachoo
Supplementary examples and questions from CBSE
Supplementary Example 2 Important
Supplementary Example 3
Supplementary Example 4
Supplementary Example 5 Important
Supplementary Example 6
Supplementary Exercise Q1
Supplementary Exercise Q2
Supplementary Exercise Q3 You are here
Supplementary Exercise Q4 Important
Supplementary Exercise Q5
Supplementary Exercise Q6 Important
Supplementary Exercise Q7
Supplementary Exercise Q8
Supplementary Exercise Q9 Important
Supplementary Exercise Q10
Supplementary examples and questions from CBSE
Last updated at April 16, 2024 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