Solve the following problem:\

\\\\theta ^(***)=argmin_(\\\\theta )||p-\\\\theta u-(1-\\\\theta )v||^(2)

\ where

u,v,\\\\pi nR^(n)

. For a given

p

, the optimization problem seeks to find the nearest point\ that lies on the line passing through

u

and

v

, where

u!=v

. You may note that the line passing\ through two points

u

and

v

is the set of vectors\

L={\\\\theta u+(1-\\\\theta )v|\\\\theta inR}

\ Therefore, the goal is to find

\\\\theta

for which the distance of the point

p

from the point

\\\\theta u+(1-\\\\theta )v

\ is as small as possible.

Solve the following problem: =argminpu(1)v2. where u,v,pRn. For a given p, the optimization problem seeks to find the nearest point that lies on the line passing through u and v, where u=v. You may note that the line passing through two points u and v is the set of vectors L={u+(1)vR} Therefore, the goal is to find for which the distance of the point p from the point u+(1)v is as small as possible