please help answer these homework questions.

Conceptual Problems 1 1. What does the equation a = 3 correspond to if a) r is the only variable being considered, b) , y are the only variables being considered, c) , y, z are the only variables being considered. 2. Suppose v1, V2 are two vectors and u is another vector such that proj,, v, = 31 -5k and proj,, v. = 2j + 7k. Find a) proj,,(v, + 2vz) and b) proj;s, VA 3. Suppose V1, V2, Va are three different vectors. Does the expression v. . V2 . Va make sense? What about v, x v. x v.? What about V1 - (v2 x v.)? Explain your reasoning using complete sentences and clear logic. Feel free to show some examples if it helps clarify your explanation. 4. If u . v = u . w and u * 0, then does v = w? Suppose that it is also true that llvil = 1wil, then determine if |lu + vl| = [ju + wil is true or not, or explain why there is not enough information to determine this