Examples

Chapter 10 Class 12 Vector Algebra
Serial order wise

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Transcript

Example 8 Find the unit vector in the direction of the sum of the vectors, π β = 2π Μ + 2 π Μ β 5π Μ and π β = 2π Μ + π Μ + 3π Μ Given π β = 2π Μ + 2π Μ β 5π Μ π β = 2π Μ + 1π Μ + 3π Μ Let π β = (π β + π β) = (2 + 2) π Μ + (2 + 1) π Μ + (β5 + 3) π Μ = 4π Μ + 3π Μ β 2π Μ β΄ π β = 4π Μ + 3π Μ β 2π Μ Magnitude of π β = β(42+32+(β2)2) |π β | = β(16+9+4) = βππ Unit vector in direction of π β = π/|π β | π β π Μ = 1/β29 ["4" π Μ" + 3" π Μ" β 2" π Μ ] π Μ = 4/β29 π Μ" " + 3/β29 π Μ" "β 2/β29 π Μ" " Thus, Required unit vector = π/βππ π Μ" " + π/βππ π Μ" "β π/βππ π Μ

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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.