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Last updated at Jan. 3, 2020 by Teachoo

Transcript

Ex 10.2, 9 For given vectors, 𝑎 = 2 𝑖 − 𝑗 + 2 𝑘 and 𝑏 = − 𝑖 + 𝑗 − 𝑘 , find the unit vector in the direction of the vector 𝑎 + 𝑏 𝑎 = 2 𝑖 − j + 2 𝑘 = 2 𝑖 – 1 𝑗 + 2 𝑘 𝑏 = − 𝑖 + 𝑗 – 𝑘 = −1 𝑖 + 1 𝑗 – 1 𝑘 Now, ( 𝑎 + 𝑏) = (2 – 1) 𝑖 + (-1 + 1) 𝑗 + (2 – 1) 𝑘 = 1 𝑖 + 0 𝑗 + 1 𝑘 Let 𝑐 = 𝑎 + 𝑏 ∴ c = 1 𝑖 + 0 𝑗 + 1 𝑘 Magnitude of 𝑐 = 12+02+12 𝑐 = 1+0+1 = 2 Unit vector in direction of 𝑐 = 1 𝑐 . 𝑐 𝑐 = 1 2 1 𝑖+0 𝑗+1 𝑘 𝑐 = 1 2 𝑖 + 0 𝑗 + 1 2 𝑘 𝑐 = 𝟏 𝟐 𝒊 + 𝟏 𝟐 𝒌 Thus, unit vector in direction of 𝑐 = 1 2 𝑖 + 1 2 𝑘

Ex 10.2

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Ex 10.2, 9 You are here

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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 9 years. He provides courses for Maths and Science at Teachoo.