Last updated at May 29, 2018 by Teachoo

Transcript

Ex 10.3, 4 Find the projection of the vector 𝑖 + 3 𝑗 + 7 𝑘 on the vector 7 𝑖 - 𝑗 + 8 𝑘 . Projection of vector 𝒂 on 𝒃 = 𝟏 𝒃 ( 𝒂. 𝒃) Let 𝑎 = 1 𝑖 + 3 𝑗 + 7 𝑘 𝑏 = 7 𝑖 – 1 𝑗 + 8 𝑘 ( 𝒂 . 𝒃) = (1 × 7) + (3 × −1) + (7 × 8) = 7 + (−3) + 56 = 60 Magnitude of 𝑏 = 72+ −12+82 𝑏 = 49+1+64 = 𝟏𝟏𝟒 Projection of 𝑎 on 𝑏 = 1 𝑏 ( 𝑎. 𝑏) = 1 114 × 60 = 60 114 Thus projection of 𝑎 on 𝑏 = 𝟔𝟎 𝟏𝟏𝟒

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.