# What is the Intuition behind weight vector W which is normal to the plane? Is the weight vector W same as the W which is normal to the plane π?

In an interview, I was asked the intuition behind the weight vector. I told the weight vector is a vector which we try to minimize to a local minima with the help of regulariser so we don't overfit. Weights tells us the influence of a feature on the model.

Although I am not sure if my intuition is correct. Is Weight vector W always normal to the plane? Say we have 5 features and after training say logistic reg we get weight vector of 5 values. Does this mean i have 5 W's each with its own plane? Because W is always normal to the plane π.

First I was asked when we say that there is a plane π, and the normal to the plane π is W. What does it mean? Later I was asked what can we interpret from weight vector? Is Weight vector W same as W which is normal to the plane

It would really help if someone could help me clear this understanding visually and intuitively.

• could you please explain normal to plane ? Mar 25, 2021 at 1:00
• normal to plane as in normal vector to the plane which is perpendicular to plane. Mar 25, 2021 at 12:54