Example 6 - Find unit vector in direction of a = 2i + 3j + k - Examples

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Example 6 Find unit vector in the direction of vector 𝑎﷯ = 2 𝑖﷯ + 3 𝑗﷯ + 𝑘﷯ 𝑎﷯ = 2 𝑖﷯ + 3 𝑗﷯ + 𝑘﷯ = 2 𝑖﷯ + 3 𝑗﷯ + 1 𝑘﷯ Magnitude of 𝑎﷯ = ﷮22+32+12﷯ 𝑎﷯﷯ = ﷮4+9+1﷯ = ﷮14﷯ Unit vector in direction of 𝑎﷯ = 1﷮𝑀𝑎𝑔𝑛𝑖𝑡𝑢𝑑𝑒 𝑜𝑓 𝑎﷯﷯ × 𝑎﷯ 𝑎﷯ = 1﷮ ﷮14﷯﷯ 2 𝑖﷯ + 3 𝑗﷯ + 1 𝑘﷯﷯ 𝑎﷯ = 2﷮ ﷮14﷯﷯ 𝑖﷯ + 3﷮ ﷮14﷯﷯ 𝑖﷯ + 1﷮ ﷮14﷯﷯ 𝑘﷯ Thus, unit vector in the direction of 𝑎﷯ = 𝟐﷮ ﷮𝟏𝟒﷯﷯ 𝒊﷯ + 𝟑﷮ ﷮𝟏𝟒﷯﷯ 𝒊﷯ + 𝟏﷮ ﷮𝟏𝟒﷯﷯ 𝒌﷯

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