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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Example 28 (Supplementary NCERT) Find if the vectors = + 3 + , = 2 and = + 7 + 3 are coplanar.Three vectors , , are coplanar if [ " " " " ] = 0 Given, = + 3 + = 2 = + 7 + 3 [ " " " " ] = | 8(1&3&1@2& 1& 1@ &7&3)| 0 = 1[( 1 3) (7 1) ] 3[(2 3) ( 1) ] + 1[(2 7) ( 1) ] 0 = 1 [ 3 ( 7)] 3[6 ( )]+1[14 ( )] 0 = 1 [ 3+7] 3[6+ ]+1[14+ ] 0 = 4 18 3 + 14 + 0 = 18 18 3 + 0 = 2 2 = 0 = 0/( 2) = 0 Therefore, , , are coplanar if = 0

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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.