Per 100 grams, an apple has 5 mg of magnesium whereas a banana has 27 mg, an apple has 6 mg of calcium where a banana has 5 mg, and an apple has 11 mg of phosphorus where a banana has 22 mg. Now, consider the vectors v1 = 2 4 5 6 11 3 5 and v2 = 2 4 27 5 22 3 5. (a) Give a physical interpretation of these two vectors, i.e. write a sentence explaining what these vectors represent in the real-world context described. (b) Give a physical interpretation of the linear combination 4v1 + 2v2. (c) Give a physical interpretation of the span of these two vectors. (What has to be true about the weights of the vectors in this situation.)