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Ex 10.3, 4 Find the projection of the vector ๐ ฬ + 3๐ ฬ + 7๐ ฬ on the vector 7๐ ฬ - ๐ ฬ + 8๐ ฬ . Projection of vector ๐ โ on ๐ โ = ๐/|๐ โ | (๐ โ. ๐ โ) Let ๐ โ = 1๐ ฬ + 3๐ ฬ + 7๐ ฬ ๐ โ = 7๐ ฬ โ 1๐ ฬ + 8๐ ฬ (๐ โ . ๐ โ) = (1 ร 7) + (3 ร โ1) + (7 ร 8) = 7 + (โ3) + 56 = 60 Magnitude of ๐ โ = โ(72+(โ1)2+82) |๐ โ | = โ(49+1+64) = โ๐๐๐ Projection of ๐ โ on ๐ โ = 1/|๐ โ | (๐ โ. ๐ โ) = 1/โ114 ร 60 = 60/โ114 Thus projection of ๐ โ on ๐ โ = ๐๐/โ๐๐๐

Ex 10.3

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Ex 10.3, 4 You are here

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Ex 10.3, 18 (MCQ) Important

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.