Ex 10.3, 14 - If either a=0 or b=0, then a.b = 0, but converse - Scalar product - Defination

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise

Transcript

Ex 10.3, 14 If either vector = 0 or = 0 , then . = 0 But the converse need not be true. justify your answer with an example. Converse: If . = 0, then either = 0 or = 0 Let = + + = 1 + 1 + 1 and = + - 2 = 1 + 1 2 . = 1.1 + 1.1 + 1( 2) = 1 + 1 2 = 0 Hence, . = 0 but 0 and 0 Thus, the converse need not be true.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.