Suppose there are 3 vectors A, B and C. Consider A= - C or C= - A
Now the vector product of B and A is B×A.
My question is Can i do this??
B×A= -(A×B)= (-A×B) = (C×B)
If no, what's the reason behind then?
3 Vectors and Cross Product
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$\begingroup$
geometry
vectors
cross-product
1 Answers
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Yes, this is valid. Scalar multiplication is compatible with the cross product: if $c$ is a scalar, then $c(A \times B) = cA \times B = A \times cB$.
Your calculation is the special case where $c = -1$.