is this equation is a linear equation [x + 2y -3z / e^2 + In(2) =0.]true or false

yes, it's linear equation in 3D.

notice that e^2 + ln(2) looks complicated, but it's actually just a constant.

To determine whether an equation is linear or not, we need to check if it satisfies the conditions of a linear equation.

A linear equation can be written in the form Ax + By + Cz = D, where A, B, C, and D are constants, and x, y, and z are variables.

Looking at the given equation: [x + 2y - 3z / e^2 + ln(2) = 0], we can see that it does not follow the standard form of a linear equation.

The presence of division (x + 2y - 3z / e^2 + ln(2)) and non-linear functions (e^2 and ln(2)) makes this equation non-linear. Therefore, the given equation is not a linear equation.