Last updated at April 22, 2021 by Teachoo

Transcript

Ex 10.2, 8 Find the unit vector in the direction of vector (๐๐) โ , where P and Q are the points (1, 2, 3) and (4, 5, 6); respectively.P (1, 2, 3) Q (4, 5, 6) (๐๐) โ = (4 โ 1) ๐ ฬ + (5 โ 2) ๐ ฬ + (6 โ 3) ๐ ฬ = 3๐ ฬ + 3๐ ฬ + 3๐ ฬ โด Vector joining P and Q is given by (๐๐) โ = 3๐ ฬ + 3๐ ฬ + 3๐ ฬ Magnitude of (๐๐) โ = โ(32+32+32) |(๐๐) โ | = โ(9+9+9) = โ27 = 3โ3 Unit vector in direction of (๐๐) โ = 1/(๐๐๐๐๐๐ก๐ข๐๐ ๐๐ (๐๐) โ ) ร(๐๐) โ = 1/(3โ3) ["3" i ฬ" + 3" j ฬ" + 3" k ฬ ] = 3/(3โ3) ๐ ฬ + 3/(3โ3) ๐ ฬ + 3/(3โ3) ๐ ฬ = ๐/โ๐ ๐ ฬ + ๐/โ๐ ๐ ฬ + ๐/โ๐ ๐ ฬ Thus, unit vector in direction of (๐๐) โ = 1/โ3 ๐ ฬ + 1/โ3 ๐ ฬ + 1/โ3 ๐ ฬ

Ex 10.2

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Ex 10.2, 8 You are here

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Ex 10.2, 18 (MCQ) Important

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.