Ex 10.3, 1 - Chapter 10 Class 12 Vector Algebra

Last updated at April 16, 2024 by

Ex 10.3, 1 - Find angle between two vectors a, b with magintudes root3

Ex 10.3, 1 - Chapter 10 Class 12 Vector Algebra - Part 2

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Ex 10.3, 1 Find the angle between two vectors 𝑎 ⃗ and 𝑏 ⃗ with magnitudes √3 and 2 ,respectively having 𝑎 ⃗ ⋅𝑏 ⃗ = √6 . 𝑎 ⃗ . 𝑏 ⃗ = "|" 𝑎 ⃗"|" "|" 𝑏 ⃗"|" cos θ where θ is the angle between 𝑎 ⃗ and 𝑏 ⃗ Given, |𝑎 ⃗ | = √3, |𝑏 ⃗ | = 2 and 𝑎 ⃗. 𝑏 ⃗ = √6 Putting values in formula 𝑎 ⃗. 𝑏 ⃗ = |𝑎 ⃗ ||𝑏 ⃗ | cos θ √6 = √3 × 2 × cos θ √3 × √2 = √3 × √2 × √2 × cos θ cos θ = 1/√2 θ = 𝝅/𝟒 Thus, the angle 𝑎 ⃗ and 𝑏 ⃗ is 𝜋/4

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo