Question: given the vector u3i j k v2i ...

Given the vector u=3i - j + k, v=2i - 3j + k and w=5i - 3sint j + cost k

Determine:

(a) u.w

(b) v∧w

(c) Find a vector that is perpendicular to both u and v. Verify that this vector is perpendicular to both u and v.