Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Given that \(Z = z e^{ik}\) and \(W = w e^{ih}\), find \(\frac{Z}{W}\) in its simplest form
Options
A \(\frac{z}{w} e^{i(k-h)}\)
Correct Answer
B \(zwe^{i(k+h)}\)
C \(zwe^{i(k+h)}\)
D \(\frac{z}{w} e^{i(k+h)}\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

(\frac{Z}{W} = \frac{z e^{ik}}{w e^{ih}} = \frac{z}{w} e^{i(k-h)}).

Hint

When dividing exponentials, subtract exponents.

Question Info