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When two vectors are perpendicular to each other, then θ = 90° and Cos 90° = θ . Therefore, A.B = A x B x Cos θ = A x B x Cos 90° = θ When two vectors are parallel to each other, then θ = θ ° and Cos θ ° = 1. Therefore, A.B = A x B x Cos θ = A x B x Cos θ ° = AB When two vectors are anti-parallel to each other, then θ =180° and Cos 180° = -1. Therefore, A.B = A x B x Cos θ = A x B x Cos 180° = -AB