Let l=2L\sqrt{5} and P=(1,2) in the Poincaré plane. Find the uniqe line l' through P    such that l' is orthogonal to l

Find the tangent plane to the equation z = 5x + 3y - 3y at the point (5, 4, 161) z =

Let L. be the line passing through the point P-(5, 1, 1) with direction vector 1-1,5, -21, and let T be the plane defined by 2xry-12--9. Find the point where L and T intersect Q-(0.0.0)

Let L be the line passing through the point P-(-4, 2, -1) with direction vector d--3, 1,-2] Find the shortest distance d from the point Po= (-3, 5, 4) to L, and the point Q on L that is closest to Po, Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q= (0.0.0)