1. Using the definition of the dot product A B = A1B₁ + A2B2 + A3B3, prove that a) AB=BA; b) A. (B+C) = A·B+A C; c) A. (kB) = (kA) · B = k(AB).
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![1. Using the definition of the dot product A B = A₁B1₁ + A₂B₂+ A3B3, prove that
a) AB=BA;
b) A. (B+C) = A·B+A·C;
c) A. (kB) = (kA) · B = k(A · B).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfbbf43f-b5c2-4d87-8106-243aab91da52%2F07a76a91-930d-424d-9598-6433f4cf2b73%2Fwm0fgow_processed.jpeg&w=3840&q=75)
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