Example 4 - Find of x, y, z so that vectors a = xi + 2j + zk - Examples

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Example 4 Find the values of x, y and z so that the vectors ๐‘Žย โƒ— = x๐‘–ย ฬ‚ + 2๐‘—ย ฬ‚ + z๐‘˜ย ฬ‚ and ๐‘ย โƒ— = 2๐‘–ย ฬ‚ + y๐‘—ย ฬ‚ + ๐‘˜ย ฬ‚ are equal. ๐‘Žย โƒ— = x๐‘–ย ฬ‚ + 2๐‘—ย ฬ‚ + ๐‘ง๐‘˜ย ฬ‚ ๐‘ย โƒ— = 2๐‘–ย ฬ‚ + y๐‘—ย ฬ‚ + ๐‘˜ย ฬ‚ Since ๐‘Žย โƒ— = ๐‘ย โƒ— Comparing corresponding components, Thus, x = 2 , y = 2 & z = 1

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