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## Homework Statement

Find point d on the line l closest to the point c (1,1,7). Point c is on the end of a vector who's origin (1,1,2) is on line l. There is an imaginary line that connects point c to point d. This imaginary line is perpendicular to the line l. This problem is relating to vectors and just before this problem I found the parametric equation of the line l so I guess I am going to need that to work this problem.

## Homework Equations

parametric equation for l x=2+t u=3+2t z=5+3t

the angle between the vector with point c and line l is 36.7 degrees

c=(1,1,7)