Vectors A, B, and C for a triangle as shown in Figure The angle between A and B is , and the vectors are related by C A B Compute CC in terms of A, B, and , and derive the law of cosines, C 2 A 2 B 2 2AB cos B

Question: Vectors A, B, and C for a triangle as shown in Figure. The angle between A and B is , and the vectors are related

Vectors A, B, and C for a triangle as shown in Figure. The angle between A and B is θ, and the vectors are related by C = A - B. Compute C·C in terms of A, B, and θ, and derive the law of cosines, C² = A² + B² - 2AB cos θ.

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