Vector Scalar or Not Applicable?

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The discussion revolves around the operations involving dot and cross products in vector mathematics. It clarifies that a dot product results in a scalar, while a cross product yields a vector. The addition and subtraction of vectors maintain the vector nature of the result. Participants emphasize understanding how these operations interact, particularly in mixed expressions. The thread seeks guidance on determining the outcomes of specific vector operations.
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Homework Statement



a dot (b-c)*
(a dot b) x c
(a-b) x c

Which results would yield a scalar, vector, or none?

The Attempt at a Solution



Please give me some guidance, I know that a dot product produces a scalar and a cross product yields a vector but what about the addition and subtractions?
 
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Addition and subtraction of anything always results in the same thing.
 
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