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Ex 10.3
Ex 10.3, 2
Ex 10.3, 3 Important
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 May 29, 2023 by Teachoo
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