Find the Cartesian equations of the following planes whose vector equations are: `vecr.(3hati+3hatj-4hatk)=0`

Find the Cartesian equations of the following planes whose vector equations are: vecr.(2hati-7hatj+4hatk)+=0

Find the Cartesian equations of the following planes whose vector equations are: vecr.(hati+hatj-hatk)=2

Find the Cartesian equations of the following planes whose vector equations are: vecr.[(s-2t)hati+93-t)hatj+(2s+t)hatk]=15

Find the Cartesian equation of the plane whose vector equation is vecr.(3hati+4hatj-2hatk)=5 .

Find the shortest distance between the two lines whose vector equations are given by: vecr=hati+2hatj+3hatk+lamda(2hati+3hatj+4hatk) and vecr=2hati+4hatj+5hatk+mu(3hati+4hatj+5hatk)

Find the shortest distance between the lines l_(1)and l_(1) whose vector equations are vecr=(hati+hatj) + lambda (3hati + 4hatj - 2hatk) …(i) and vecr=(2hati+3hatj) + mu (6hati + 8hatj - 4hatk) …(ii)

Find the Cartesian equation of the plane vecr.(2hati-3hatj+5hatk)=1 .

Find the vector equation of the following planes in cartesian form : " "vecr=hati-hatj+lamda(hati+hatj+hatk)+mu(hati-2hatj+3hatk) .

Find the Cartesian equation of the following plane: vecr=(lamda-2mu)hati+(3-mu)hatj+(2lamda+mu)hatk .

Find the shortest distance between the lines l_(1) and l_(2) whose vector equation are vecr =lambda (2hati+ 3hatj+ 4hatk) and vecr=(2hati+3hatj)+mu(2hati+3hatj+ 4hatk)