Last updated at Dec. 24, 2019 by Teachoo

Transcript

Example 8 Find the unit vector in the direction of the sum of the vectors, 𝑎 = 2 𝑖 + 2 𝑗 – 5 𝑘 and 𝑏 = 2 𝑖 + 𝑗 + 3 𝑘 𝑎 = 2 𝑖 + 2 𝑗 – 5 𝑘 𝑏 = 2 𝑖 + 1 𝑗 + 3 𝑘 ( 𝑎 + 𝑏) = (2 + 2) 𝑖 + (2 + 1) 𝑗 + (–5 + 3) 𝑘 = 4 𝑖 + 3 𝑗 – 2 𝑘 Let 𝑐 = ( 𝑎 + 𝑏) ∴ 𝑐 = 4 𝑖 + 3 𝑗 – 2 𝑘 Magnitude of 𝑐 = 42+32+ −22 𝑐 = 16+9+4 = 29 Unit vector in direction of 𝑐 = 1 𝑐 𝑐 𝑐 = 1 29 4 𝑖 + 3 𝑗 − 2 𝑘 𝑐 = 4 29 𝑖 + 3 29 𝑗 – 2 29 𝑘 Thus, required unit vector = 𝟒 𝟐𝟗 𝒊 + 𝟑 𝟐𝟗 𝒋 – 𝟐 𝟐𝟗 𝒌

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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.