Need help in calculating and minimizing the function.

In college yesterday, I was given the following task, which I have not been able to solve so far.

Find the point on the plane x+2y+3z = 13 that is closest to the point (1,1,1). How would you minimize the function?

I will be very grateful to you for the detailed explanation.
Can I use Lagrange Multipliers to solve?

 

Great, thanks! I periodically use forums or other resources to obtain information on solving math problems. On the page plainmath.net/13662/find-point-plane-plus-plus-equal-closest-point-would-minimize-function I received a recently expanded answer to my question, which helped me to cope with the calculations successfully and in time.