This question is the same as Example 27 (Supplementary NCERT)

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 10.5, 2 (Supplementary NCERT) Show that the vectors ๐ โ = ๐ ฬ โ 2๐ ฬ + 3๐ ฬ, ๐ โ = โ2๐ ฬ + 3๐ ฬ โ 4๐ ฬ and ๐ โ = ๐ ฬ โ 3๐ ฬ + 5๐ ฬ are coplanarThree vectors ๐ โ, ๐ โ, ๐ โ are coplanar if [๐ โ" " ๐ โ" " ๐ โ ] = 0 Given, ๐ โ = ๐ ฬ โ 2๐ ฬ + 3๐ ฬ ๐ โ = โ2๐ ฬ + 3๐ ฬ โ 4๐ ฬ ๐ โ = ๐ ฬ โ 3๐ ฬ + ฮป๐ ฬ [๐ โ" " ๐ โ" " ๐ โ ] = |โ 8(1&โ2&3@โ2&3&โ4@1&โ3&5)| = 1[(3ร5)โ(โ3รโ4) ] โ (โ2) [(โ2ร5)โ(1รโ4) ] + 3[(โ2รโ3)โ(1ร3) ]

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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.