समतल का कार्तीय समीकरण जिसका सदिश समीकरण ` vecr (3hati -5hatj +8hatk )=12` है|

The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (hati-hatj + 4hatk) and the plane vecr. (hati + 5hatj + hatk) = 5 is

The shortest distance between the lines vecr = (2hati - hatj) + lambda(2hati + hatj - 3hatk) vecr = (hati - hatj + 2hatk) + lambda(2hati + hatj - 5hatk)

Find the points of intersection of the line vecr = (2hati - hatj + 2hatk) + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5

If d is the shortest distance between the lines vecr =(3hati +5hatj + 7hatk)+lambda (hati +2hatj +hatk) and vecr = (-hati -hatj-hatk)+mu(7hati-6hatj+hatk) then 125d^(2) is equal to ____________.

If d is the shortest distance between the lines vecr =(3hati +5hatj + 7hatk)+lambda (hati +2hatj +hatk) and vecr = (-hati -hatj-hatk)+mu(7hati-6hatj+hatk) then 125d^(2) is equal to ____________.

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

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

Find the points of intersection of the line vecr = 2hati - hatj + 2hatk + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5