Question

Suppose that over a certain region of space the electrical potential v is given by the equation v(x, y, z) = 3x² - 3xy - xyz. What is the electrical potential at the point (2, -1, 3)?

Answer 1

The electrical potential at the point (2, -1, 3) is 12 volts.

Step-by-step explanation:

The electrical potential at a point in space is given by the equation v(x, y, z) = 3x² - 3xy - xyz. To find the electrical potential at the point (2, -1, 3), we substitute the values of x, y, and z into the equation.

Plugging in the values, we get v(2, -1, 3) = 3(2)² - 3(2)(-1) - (2)(-1)(3) = 12 - 6 + 6 = 12 V.

Therefore, the electrical potential at the point (2, -1, 3) is 12 volts.