(a) Evaluate A in the scalar equality (7 + 3) 4 = A.
(b) Evaluate A, B, and C in the vector equality 7.00i + 3.00k = Ai + Bj + Ck.
Explain how you arrive at the answers to convince a student who thinks that you cannot solve a single equation for three different unknowns.
(c) What If? The functional equality or identity
A + B cos (Cx + Dt + E ) = (7.00 mm) cos (3x + 4t + 2) is true for all values of the variables x and t, which are measured in meters and in seconds, respectively. Evaluate the constants A, B, C, D, and E. Explain how you arrive at the answers.