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Last updated at May 29, 2018 by Teachoo

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Supplementary Exercise Q10 If the vectors = a + + , = + b + and = + + c are coplanar, then 1 1 + 1 1 + 1 1 = 1, where a, b, c 1 Since Vectors , , are coplanar , = 0 = 1 1 1 1 1 1 = 0 C1 C1 C3 C2 C2 C3 1 0 1 0 1 1 1 1 = 0 1 0 1 0 1 1 1 1 = 0 Expanding Determinant along C3 1 0(1 c) (1 c)(b 1) 1 (a 1) (1 c) 0 + c (a 1) (b 1) 0 (1 c) (1 b) (a 1) (1 c) + c (1 a) (1 b) = 0 (1 c) (1 b) + (1 c) (1 a) + c (1 a) (1 b) = 0 Dividing L.H.S and R.H.S by (1 a) (1 b) (1 c) 1 1 + 1 1 + 1 1 1 1 1 =0 1 1 + 1 1 + 1 =0 1 1 + 1 1 + 1 =0 Adding 1 both sides 1 1 + 1 1 + 1 +1=1 1 1 + 1 1 + + 1 1 =1 1 1 + 1 1 + 1 1 =1 Hence Proved

Supplementary examples and questions from CBSE

Supplementary Example 1

Supplementary Example 2

Supplementary Example 3

Supplementary Example 4

Supplementary Example 5

Supplementary Example 6

Supplementary Exercise Q1

Supplementary Exercise Q2

Supplementary Exercise Q3

Supplementary Exercise Q4

Supplementary Exercise Q5

Supplementary Exercise Q6

Supplementary Exercise Q7

Supplementary Exercise Q8

Supplementary Exercise Q9

Supplementary Exercise Q10 You are here

About the Author

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.