Question

What is the equation of a plane passing through three points?

Answer 1

this is your answer if u want more about answer plz reply me

Answer 2

Let us assume that the equation of a plane is advancing through these points $(x_o, y_o , z_o) (x_1 , y_1, z_1)\ and\ (x_2, y_2, z_2)$

The formula is:

$a (x – x_o) + b(y – y_o) + c(z -z_o) = 0$

$x_o, y_o, z_o$ is nothing, but a point exists in the plane.

(a) Find a,b and c by using the vector of ab and ac

(b) The value of a, b and c is given by the cross product of ab and ac

(c) Substitute the value of a, b and c

(d) Apply the values of $x_o, y_o\ and\ z_o$.

Hence, the equation for the point A is obtained

Now we can find the value of a, b and c by taking the vector of ab and ac.

Then the cross product of ab and ac will give the value of a, b and c.

Then we can substitute the value of a, b and c in the formula and apply the values of $x_o, y_o\ and\ z_o$.

This gives us an equation for the point A.