Find the distance of the point (1,2,5) from the plane `vecr.(hati+hatj+hatk)+17=0`

Find the distance of the point (3,8,2) from the line vecr=hati + 3 hatj + 2hatk + lamda ( 2 hati + 4 hatj + 3hatk) measured parallel to the plane vec r . (3 hati + 2 hatj - 2hatk) + 15=0.

Find the length of the foot of the perpendicular from the point (1,1,2) to the plane vecr.(2hati-2hatj+4hatk)+5=0

Show that the point (1,2,1) is equidistant from the planes vecr.(hati+2hatj-2hatk) = 5 and vecr.(2hati-2hatj+hatk) + 3 = 0 .

Find the distance of the point (-1,-5,-10) from the point of the intersection of the line vecr = 2hati-2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk) = 5 .

Find the perpendicular distance from the point (2hati-hatj+4hatk) to the plane vecr.(3hati-4hatj+12hatk) = 1 .

Find the distance of the pont (-1,-5,-10) from the point of intersection of the ine vecr=2hati - hatj +2hatk + lamda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk)=5 .

Find the perpendicular distance from the point (2hati+hatj-hatk) to the plane vecr.(i-2hatj+4hatk) = 3 .

The image (or reflection) of the point (1,2-1) in the plane vecr.(3hati-5hatj+4hatk)=5 is

Find the equation of the plane passes through the point (2,1,-2) and parallel to the plane vecr.(3hati+hatj-hatk) = 0 .

Find the distance between the parallel planes vecr.(2hati-3hatj+6hatk) = 5 and vecr.(6hati-9hatj+18hatk) + 20 = 0 .