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Last updated at May 6, 2021 by Teachoo

Transcript

Example 16 Find the projection of the vector ๐ โ = 2๐ ฬ + 3๐ ฬ + 2๐ ฬ on the vector ๐ โ = ๐ ฬ + 2๐ ฬ + ๐ ฬ. Given ๐ โ = 2๐ ฬ + 3๐ ฬ + 2๐ ฬ ๐ โ = 1๐ ฬ + 2๐ ฬ + 1๐ ฬ We know that Projection of vector ๐ โ on ๐ โ = ๐/("|" ๐ โ"|" ) (๐ โ. ๐ โ) Finding ๐ โ. ๐ โ (๐ โ. ๐ โ) = (2 ร 1) + (3 ร 2) + (2 ร 1) = 2 + 6 + 2 = 10 Magnitude of ๐ โ = โ(12+22+12) |๐ โ | = โ(1+4+1) = โ๐ Now, Projection of vector ๐ โ on ๐ โ = 1/("|" ๐ โ"|" ) (๐ โ. ๐ โ) = 1/โ6 (10) = 10/โ6 = 10/โ6 ร โ6/โ6 = 10/6 ร โ6 = ๐/๐ โ๐

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Example 26 (Supplementary NCERT) Deleted for CBSE Board 2022 Exams

Example 27 (Supplementary NCERT) Deleted for CBSE Board 2022 Exams

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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.