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Ex 10.2, 14 - Chapter 10 Class 12 Vector Algebra
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 10.2, 14 Show that the vector 𝑖 + 𝑗 + 𝑘 is equally inclined to the axes OX, OY and OZ. Let 𝑎 = 𝑖 + 𝑗 + 𝑘 = 1 𝑖 + 1 𝑗 + 1 𝑘 A vector is equally inclined to OX, OY, OZ i.e. X, Y and Z axes respectively, if its direction cosines are equal. Direction ratios of 𝑎 are 𝑎 = 1, b = 1 , c = 1 Magnitude of 𝑎 = 12+12+12 𝑎 = 1+1+1 = 3 Direction cosines OF 𝑎 are 𝑎 𝑎, 𝑏 𝑎, 𝑐 𝑎 = 1 3, 1 3, 1 3 Since the direction cosines are equal, 𝑎 = 𝑖 + 𝑗 + 𝑘 is equally inclined to OX, OY and OZ
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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.