For problems 1—4 below, let = (3, and = (5, —2.—1) and let k = —4 (a scalar). 1. Determine whether the following are vectors, scalars. or undefined, If the value is defined, use the values above to evaluate, If the value is undefined, clearly explain why. 2. Verify that lla112 — 11b 112 3. Find the vector projection of é onto B, 4. Find the area Of the parallelogram formed by and Proof-type problems 5. Do the following: a. Prove that if two vectors are orthogonal, then their dot product is zero. b. Show that and (as defined in part l) are orthogonal c. Explain why it must be the case that kå and kb are orthogonal. 6. Complete one of the following: a. use the definition of dot product to prove that it • ii = b. Prove that i X F c. (Extra Points for this one) Suppose that Iliill = 2 and llvll = 5 and llü X 1311 = 6. Find ä•ö. solution