Misc 5 - Find x for which x(i + j + k) is a unit vector. - Unit vector

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Misc 5 Find the value of x for which x( 𝑖﷯ + 𝑗﷯ + 𝑘﷯) is a unit vector. Let 𝑎﷯ = x( 𝑖﷯ + 𝑗﷯ + 𝑘﷯) So, 𝑎﷯ = 𝑥 𝑖﷯ + 𝑥 𝑗﷯ + 𝑥 𝑘﷯ Given, 𝑎﷯ is a unit vector Magnitude of 𝑎﷯ is 1. So, 𝑎﷯﷯ = 1 Magnitude of 𝑎﷯ = ﷮𝑥2+𝑥2+𝑥2﷯ 𝑎﷯﷯ = ﷮3𝑥2﷯ = ﷮3﷯ 𝑥 Now, 𝑎﷯﷯ = 1 ﷮3﷯𝑥 = 1 𝒙 = 𝟏﷮ ﷮𝟑﷯﷯

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