Examples

Chapter 10 Class 12 Vector Algebra
Serial order wise

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### Transcript

Example 22 Find |π β Γ π β|, if π β = 2π Μ + π Μ + 3π Μ and π β = 3π Μ + 5π Μ β 2π Μ Given π β = 2π Μ + π Μ + 3π Μ π β = 3π Μ + 5π Μ β 2π Μ Now, π β Γ π β = |β 8(π Μ&π Μ&π Μ@2&1&[email protected]&5&β2)| = π Μ (1 Γ (-2) β 5 Γ 3) β π Μ (2 Γ (-2) β 3 Γ 3) + π Μ (2 Γ 5 β 3 Γ 1) = π Μ (β2 β15) β π Μ (β4 β9) + π Μ (10 β 3) = β17π Μ + 13π Μ + 7π Μ So, Magnitude of π β Γ π β = β((β17)2+(13)2+(7)2) |π β" Γ " π β | = β(289+169+49) = β507 Thus, |π β" Γ " π β | = βπππ

#### 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.