Question 15 (OR 1st Question) - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at March 16, 2023 by Teachoo

The magnitude of projection of (2i − j + k ) on (i − 2j + 2k ) is _______

The magnitude of projection of (2i − j + k ) on (i − 2j + 2k ) is ___

Question 15 (OR 1st Question) - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

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Question 15 (OR 1st Question) The magnitude of projection of (2𝑖 ̂ − 𝑗 ̂ + 𝑘 ̂) on (𝑖 ̂ − 2𝑗 ̂ + 2𝑘 ̂) is _______ Projection of vector 𝒂 ⃗ on 𝒃 ⃗ = 𝟏/|𝒃 ⃗ | (𝒂 ⃗. 𝒃 ⃗) Let 𝑎 ⃗ = 2𝑖 ̂ – 𝑗 ̂ + 𝑘 ̂ 𝑏 ⃗ = 𝑖 ̂ – 2𝑗 ̂ + 2𝑘 ̂ (𝒂 ⃗ . 𝒃 ⃗) = (2 × 1) + (–1 × −2) + (1 × 2) = 2 + 2 + 2 = 6 Magnitude of 𝑏 ⃗ = √(12+(−2)2+22) |𝑏 ⃗ | = √(1+4+4) |𝑏 ⃗ | = √9 |𝑏 ⃗ | = 3 Projection of 𝑎 ⃗ on 𝑏 ⃗ = 1/|𝑏 ⃗ | (𝑎 ⃗. 𝑏 ⃗) = 1/3 × 6 = 2 ∴ Magnitude of projection is 2 units

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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