Example 17 - Find |a - b|, if |a| = 2|b| = 3 and a.b = 4 - Examples

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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Example 17 Find | | , if two vectors a and b are such that | | = 2, | | = 3 and = 4. Given, | | = 2 , | | = 2 & . = 4 We need to find : | | Taking square, | |2 = ( ). ( ) = . . . + . = . . . + . = . 2 . + . = | |2 2 . + | |2 = 22 2 4 + 32 = 4 8 + 9 = 5 So, | |2 = 5 | | = 5 Since magnitude is not negative, So, | | =

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