Subscribe to our Youtube Channel - https://you.tube/teachoo
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
Ex 10.2
Ex 10.2, 1
Ex 10.2, 2
Ex 10.2, 3
Ex 10.2, 4 Important
Ex 10.2, 5 Important
Ex 10.2, 6
Ex 10.2, 7 Important
Ex 10.2, 8
Ex 10.2, 9
Ex 10.2, 10 Important
Ex 10.2, 11
Ex 10.2, 12
Ex 10.2, 13 Important
Ex 10.2, 14 You are here
Ex 10.2, 15 Important
Ex 10.2, 16
Ex 10.2, 17 Important
Ex 10.2, 18 Important
Ex 10.2, 19 Important
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.