Ex 10.4, 10 - Find area of parallelogram whose adjacent sides - Ex 10.4

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  1. Class 12
  2. Important Question for exams Class 12

Transcript

Ex 10.4, 10 Find the area of the parallelogram whose adjacent sides are determined by the vectors = + 3 and b = 2 7 + . = + 3 = 1 1 + 3 k = 2 7 + = 2 7 + 1 k Area of parallelogram ABCD = = 1 1 3 2 7 1 = ( 1 1 ( 7) 3) (1 1 2 3) + (1 7 2 1) = ( 1 ( 21)) (1 6) + ( 7 ( 2)) = ( 1 + 21) ( 5) + ( 7 + 2) = 20 + 5 5 Magnitude of = 202+52+ 5 2 = 400+25+25 = 450 = 25 9 2 = 5 3 2 = 15 2 Therefore, the area of parallelogram is 15 .

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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.