Ex 10.2, 7 - Find unit vector in direction of a = i + j + 2k - Unit vector

  1. Class 12
  2. Important Question for exams Class 12
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Ex 10.2, 7 Find the unit vector in the direction of the vector 𝑎﷯ = 𝑖﷯ + 𝑗﷯ + 2 𝑘﷯ 𝑎﷯ = 𝑖﷯ + 𝑗﷯ + 2 𝑘﷯, = 1 𝑖﷯ + 1 𝑗﷯ + 2 𝑘﷯, Magnitude of 𝑎﷯ = ﷮12+12+22﷯ 𝑎﷯﷯ = ﷮1+1+4﷯ = ﷮6﷯ Unit vector in direction of 𝑎﷯ = 𝟏﷮ 𝒂﷯﷯﷯ . 𝒂﷯ 𝑎﷯ = 1﷮ ﷮6﷯﷯ 1 𝑖﷯ + 1 𝑗﷯ + 2 𝑘﷯﷯ 𝑎﷯ = 𝟏﷮ ﷮𝟔﷯﷯ 𝒊﷯ + 𝟏﷮ ﷮𝟔﷯﷯ 𝒋﷯ + 𝟐﷮ ﷮𝟔﷯﷯ 𝒌﷯ aThus unit vector in direction of 𝑎﷯ = 1﷮ ﷮6﷯﷯ 𝑖﷯ + 1﷮ ﷮6﷯﷯ 𝑗﷯ + 2﷮ ﷮6﷯﷯ 𝑘﷯

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.