Why not multiply vectors like numbers?
Why not multiply vectors like numbers?
Asked by Shiksha User
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1 Answer
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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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S
Syed Aquib Ur Rahman
Scalar multiplication requires one vector and one scalar. Dot product requires two vectors. That's the basic difference.
S
Syed Aquib Ur Rahman
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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