Can someone explain why (𝑎 • 𝑏) × 𝑐 exist if a, b, and c are vectors?

Answer 1

(𝑎 • 𝑏) × 𝑐

(𝑎 • 𝑏) is a scalar, if a and b are vectors
then (𝑎 • 𝑏) × 𝑐 would simply a scalar multiple of the vector c

Answer 2

Your question is incorrectly worded.

the cross product is only defined between two vectors.
You cannot take the cross-product of a scalar and a vector.

Answer 3

correct my bad