1.18 & Vector exponentialion: V- and v. Complete the 3-step proofs. (Section 2.9) Step 1: Complete the definition of v in terms of v . Step 2: Use the definition of the dot-product to show how v . v can be expressed in terms of v . Step 3: Combine these two definitions to provide an alternate way to calculate v with a vector dot-product. Result: V2 A V V (2.2) Complete the 3-step proof that relates to v . v raised to a real number. Result: (2.4) 1.19 & cax Calculate vector magnitude with dot products. (Section 2.9 and Hw 1.18) Show how the vector dot-product can be used to show that the magnitude of the vector cax (c is a positive or negative number and a, is a unit vector) can be written solely in terms of c (without ax). Result: cax = C2 = abs(c)