1. (2 points; 0.5 points each) Let a, b, and c be vectors in R³ (i.e. each vector has 3 components, each of which are real numbers). Determine if the following is a vector, a constant, or nonsense. Clearly circle or box your solution; any answer with multiple answers will be marked incorrect:
(a) a(b x c)
Vector Constant Nonsense
(b) a x (b x c)
Vector Constant Nonsense
(c) (a \cdot b)c
Vector Constant Nonsense
(d) a \cdot (b x c)
Vector Constant Nonsense