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• March 1, 2022

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• PHY101 Physics I © Dr.Cem Özdoğan

• 3-8 Multiplying Vectors

• A. Multiplying a vector by a scalar

• Multiplying a vector by a scalar changes the magnitude but not the direction:

• B. Multiplying a vector by a vector: Scalar (Dot) Product

• It is defined as:

• Here, a and b are the magnitudes of vectors a and b respectively, and  is the angle between the two vectors.
• The right hand side is a scalar quantity.

• The scalar product between two vectors is written as:

• order is NOT important!