Supplementary examples and questions from CBSE

Chapter 10 Class 12 Vector Algebra
Serial order wise

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Transcript

Supplementary Example 2 Find the volume of the parallelepiped whose edges are π β = 2π Μ β 3π Μ + 4π Μ, π β = π Μ + 2π Μ β π Μ and π β = 2π Μ β π Μ + 2π Μ Given, π β = 2π Μ β 3π Μ + 4π Μ , π β = π Μ + 2π Μ β π Μ , π β = 2π Μ β π Μ + 2π Μ Volume of parallelepiped = [π β" " π β" " π β ] = |β 8(2&β3&[email protected]&2&β[email protected]&β1&2)| = 2[(2Γ2)β(β1Γβ1) ] β (β3) [(1Γ2)β(2Γβ1) ] + 4[(1Γβ1)β(2Γ2)] = 2 [4β1]+3(2+2)+4[β1β4] = 2(3) + 3 (4) + 4(β5) = 6 + 12 β 20 = β2 Since volume is always positive Volume of parallelepiped = 2 cubic units

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.