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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Example 27 (Supplementary NCERT) Show that the vectors = 2 + 3 , = 2 + 3 4 and = 3 + 5 are coplanarThree vectors , , are coplanar if [ " " " " ] = 0 Given, = 2 + 3 = 2 + 3 4 = 3 + [ " " " " ] = | 8(1& 2&3@ 2&3& 4@1& 3&5)| = 1[(3 5) ( 3 4) ] ( 2) [( 2 5) (1 4) ] + 3[( 2 3) (1 3) ] = 1 [15 (3 4)]+2[ 10 ( 4)]+3[(2 3) 3] = 1 [15 12]+2[ 10+4]+3[6 3] = 1 [3]+2[ 6]+3[3] = 3 12 + 9 = 0 Since [ " " " " ] = 0 Vectors , , are coplanar

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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.