Example 13 - Find angle between vectors  a and b, magnitudes - Scalar product - Defination

  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Example 13 Find the angle between two vectors 𝑎﷯ and 𝑏﷯ with magnitudes 1 and 2 respectively and when 𝑎﷯ ⋅ 𝑏﷯ =1. 𝑎﷯ . 𝑏﷯ = | 𝑎﷯| | 𝑏﷯| cos θ where θ is the angle between 𝑎﷯ and 𝑏﷯ Given | 𝑎﷯| = 1 , | 𝑏﷯| = 2 , and 𝑎﷯. 𝑏﷯ = 1 Putting values in formula 𝑎﷯ . 𝑏﷯ = | 𝑎﷯| | 𝑏﷯| cos θ 1 = 1 × 2 × cos θ cos θ = 1﷮2﷯ So, θ = 𝝅﷮𝟑﷯ Thus angle b/w 𝑎﷯ and 𝑏﷯ is 𝜋﷮3﷯ .

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