Last updated at March 11, 2017 by Teachoo

Transcript

Example 25 Find the area of a parallelogram whose adjacent sides are given by the vectors a = 3 + + 4 and b = + k a = 3 + 1 + 4 b = 1 1 + 1 k Area of parallelogram ABCD = = 3 1 4 1 1 1 = (1 1 ( 1) 4) (3 1 1 4) + (3 1 1 1) = (1 (-4)) j (3 4) + ( 3 1) = (1 + 4) j ( 1) + ( 4) = 5 + 4 Magnitude of = 52+ 1 2 + 4 2 = 25+1+16 = 42 Area of parallelogram ABCD = = 42 Therefore, the required area is .

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.