Is dot product associative?
Understand the Problem
The question is asking whether the dot product of vectors satisfies the associative property, meaning if (A • B) • C equals A • (B • C) for vectors A, B, and C.
Answer
No
The final answer is No
Answer for screen readers
The final answer is No
More Information
The dot product is not associative because it produces a scalar, and it is not defined for a scalar to participate in another dot product with a vector.
Tips
Avoid assuming properties like associativity from other operations (like scalar multiplication) apply to the dot product.
Sources
- Dot Product - Maths Libretexts - math.libretexts.org
- Does a dot product obey associative laws? - Quora - quora.com
- Scalar Dot Product of Two Vectors - BYJU'S - byjus.com
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