How can you determine if a vector in R3 belongs to a three dimensional region with its conditions?

For instance v=(1,2,3) satisfices x^2 + y^2 + z^2 < 1?

[John Medina]

Please! Help me

Answer 1

[Ameer Hamza]

You can use this condition

sum(v.^2) < 1

It will return either true or false

[John Medina]

Thank you! And if the condition is: (x-x_0)^2 + (y-y_0)^2 + (z-z_0)^2 < 1 where x_0, y_0 y z_0 are known values.

[Ameer Hamza]

You can write it as

sum((v - [x_0 y_0 z_0]).^2) < 1

You should go through getting started MATLAB. Such basic concepts are explained there.

[John Medina]

Thank you. You´re right!

[Ameer Hamza]

You are welcome.

[Jan]

@John: What you have posted is valid code already:

 (x-x_0)^2 + (y-y_0)^2 + (z-z_0)^2 < 1

All you have to do is to replace "x" by "v(1)", "y" by "v(2)" and the same for "z".