Find parametric equations of the streamline of the velocity field v(x, y, z) = y i - y j + y k that passes through the point (2, -3, -4).
A) x = 2 + t, y = -3 - t, z = -4 + t
B) x = 2 + t, y = -3 + t, z = -4 + t
C) x = 2 + t, y = -3 - t, z = -4 - t
D) x = 2 + t, y = 3 - t, z = 4 + t
E) x = 2t, y = -3t, z = -4t

Question

Quizplus · Accepted Answer

The streamline is given by the equation:$$\frac{dx}{y} = \frac{dy}{-y} = \frac{dz}{y}$$Solving this system of equations, we get:$$x = 2 + t, y = -3 - t, z = -4 + t$$

Find Parametric Equations of the Streamline of the Velocity Field