Question

Calculate Gradient of P (pressure) from (x, y) = (1,2) and (2, 1).

And Draw the calculated ∇P as a vector at (x, y) = (1,2) and (2, 1).

Answer 1

The gradient of pressure (P) between two points (1,2) and (2, 1) is -1. ∇P can be represented as a vector with a magnitude of -1 and a direction pointing in the negative x-axis.

Step-by-step explanation:

To calculate the gradient of pressure (P) between two points (x, y) = (1,2) and (2, 1), we can use the formula:

Gradient of P = (P2 - P1) / (x2 - x1)

Applying the values given:

Gradient of P = (1 - 2) / (2 - 1) = -1

The calculated gradient of P at (x, y) = (1,2) and (2, 1) is -1. To draw ∇P as a vector at these points, we represent the gradient as a vector with a magnitude of -1 and a direction pointing in the negative x-axis.