Find: The shortest distance from the point (2, 1, 3) to the plane x+y+z= 1. = The shortest distance between the line parametrized by (x, y, z) (4-t, 3+ t, −1+t) and the line parametrized by (x, y, z) = (4+ s, −1 – 2s, 1 — s). -

Q: Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

A:

Q: Determine a so that the line x-3/a=y+5/2=z+1/4 is parallel to the plane 2x+3y-5z=14.

A: To determine  so that the line  is parallel to the plane .

Q: Find the point of intersection of the line with equation L: (x,y,z) = (1, - 1,0) + t(1,1,2) and the…

A: To find the intersecting point, we substitute the values of x, y, and z in the equation of plane and…