

Last updated at May 29, 2018 by Teachoo
Transcript
Ex 10.3, 16 (Introduction) Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, 1) are collinear. (1) Three points collinear i.e. AB + BC = AC (2) Three vectors collinear i.e. + = Ex 10.3, 16 Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, 1) are collinear. 3 points A, B, C are collinear if i.e. + = A (1, 2, 7) B (2, 6, 3) C (3, 10, 1) = (2 1) + (6 2) + (3 7) = 1 + 4 4 = (3 2) + (10 6) + ( 1 3) = 1 + 4 4 = (3 1) + (10 2) + ( 1 7) = 2 + 8 8 Magnitude of = 12+42+ 4 2 = 1+16+16 = 33 Magnitude of = 12+42+ 4 2 = 1+16+16 = 33 Magnitude of = 22+82+ 8 2 = 4+64+64 = 132 = 4 33 = 2 33 Thus, + = 33 + 33 = 2 33 = Thus, A, B and C are collinear.
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