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Ex 10.3
Ex 10.3, 2
Ex 10.3, 3 Important You are here
Ex 10.3, 4
Ex 10.3, 5 Important
Ex 10.3, 6
Ex 10.3, 7
Ex 10.3, 8
Ex 10.3, 9 Important
Ex 10.3, 10 Important
Ex 10.3, 11
Ex 10.3, 12 Important
Ex 10.3, 13 Important
Ex 10.3, 14
Ex 10.3, 15 Important
Ex 10.3, 16 Important
Ex 10.3, 17
Ex 10.3, 18 (MCQ) Important
Last updated at March 22, 2023 by Teachoo
Ex 10.3, 3 Find the projection of the vector 𝑖 ̂ − 𝑗 ̂ on the vector 𝑖 ̂ + 𝑗 ̂ .Let 𝑎 ⃗ = 𝑖 ̂ − 𝑗 ̂ = 1𝑖 ̂ – 1𝑗 ̂ + 0𝑘 ̂ 𝑏 ⃗ = 𝑖 ̂ + 𝑗 ̂ = 1𝑖 ̂ + 1𝑗 ̂ + 0𝑘 ̂ Projector of vector 𝒂 ⃗ on 𝒃 ⃗ = 𝟏/|𝒃 ⃗ | (𝒂 ⃗ . 𝒃 ⃗) Now, 𝒂 ⃗ . 𝒃 ⃗ = (1 × 1) (−1 × 1) + (0 × 0) = 1 + (−1) + 0 = 0 Also, Magnitude of 𝑏 ⃗ = √(12+12+02) |𝑏 ⃗ | = √(1+1+0) = √2 Projection of 𝑎 ⃗ on 𝑏 ⃗ = 1/|𝑏 ⃗ | (𝑎 ⃗ . 𝑏 ⃗) = 1/√2 (0) = 0