Multiplication of Vectors by Real Numbers

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S
Syed Aquib Ur Rahman

Contributor-Level 10

Scalar multiplication requires one vector and one scalar. Dot product requires two vectors. That's the basic difference. 

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2 months ago

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S
Syed Aquib Ur Rahman

Contributor-Level 10

Vectors are not just numbers like scalars that have only magnitude. Vectors have direction and magnitude, and multiplying two vectors or multiplying a vector by a real number would yield results as per rules of vector algebra. 

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2 months ago

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Syed Aquib Ur Rahman

Contributor-Level 10

The three different ways of vector multiplication are

  • Scalar Multiplication - This is multiplying a vector with a scalar quantity. This operation results in another vector. 
  • Dot Product - This is an operation that tells us that two vectors gives a scalar as a result. 
  • Cross Product - This is an operation, when two vectors are multiplied, yields a vector that is perpendicular to both. 

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