show that the line whose vectors equation is `vecr=(2hati-2hatj+3hatk)+lambda(hati-hatj+4hatk)` is parallel to the plane whose vectors equation is`vecr.(hati +5hatj+hatk)= 5`. Find also the distance between them.

Show that the line whose vector equation is vecr=(2 hati-2 hatj+3 hatk)+lambda (hati- hatj+4 hatk) is parallel to the plane whose vector equation is vecr.(hati+5 hatj+ hatk)=5 .Also, find the distance between them

Show that the line L whose vector equation is vecr=2hati-2hatj+3hatk+lambda(hati-hatj+4hatk) is parallel to the plane pi whose vector equation is vecr*(hati+5hatj+hatk)=5 and find the distance between them.

Show that the line whose equation is vecr=(2hati-2hatj+3hatk)+lamda(hati-hatj+4hatk) is parallel to the plane vecr.(hati+5hatj+hatk)=5 . Also find the distance between them

Show that the line vecr=(2hati-2hatj+3hatk)+lambda(hati-hatj+4hatk) is parallel to the plane vecr.(hati+5hatj+hatk)=7 .

Show that the lne vecr=(2hati+5hatj+7hatk)+lambda(hati+3hatj+4hatk) is parallel to the plane vecr.(hati+hatj-hatk)=7 . Also, find the distance between them.

Show that the line vecr=(2hati-2hatj+3hatk)+lambda(hati-hatj+4hatk) is parallel to the plane vecr.(hati+5hatj+hatk)=5. Also, find the distance between the given line and the given plane.

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

Show that the plane whose vector equation is vecr.(hati+2hatj-hatk)=3 contains the line whose vector equation is vecr=hati+hatj+lambda(2hati+hatj+4hatk) .

The plane whose vector equation is vecr.(hati+2hatj-hatk)=1 and the line whose vector equation is vecr=(-hati+hatj+hatk)+lamda(2hati+hatj+4hatk) are parallel. Find the distance between them.

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