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

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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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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