Find the cartesian from of the equation of the plane
`vecr=(s-2t) hat i+(3-t) hatj+(2s+t)hat k`

Find the cartesian from of the equation of the foolowing planes: (i) vecr=( hat i- hatj)+s(- hati+ hat j+2 hat k)+t( hati+2 hatj+ hatk) (ii) vecr= (1+s+t) hat i+(2-s+t) hatj+(3-2s+2t) hatk

Find the vector equation of the plane vecr=(1s-t) hati+(2-s) hat j+(3-2s+2t) hatk in non-parametric from

The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-lambda) hat j+(3-2lambda+2mu) hat k is a. 2x+y=5 b. 2x-y=5 c. 2x+z=5 d. 2x-z=5

Find the equation of a plane through the intersection of the planes vecr.(hati+3hat j-hat k)=5 and vecr.(2hat i-hatj +hatk)=3 and passing through the point (2,1,-2)

Find the equation of a plane through the intersection of the planes vec(r). (hat(i) + 3hat(j) - hat(k)) =5 and vec(r). (2hat(i) - hat(j) + hat(k)) and passing through the point (2, 1, -2)

Find the equation of the plane passing through line of intersection of the plane vecr.(hat i + 3 hat j) + 6 = 0 andvecr.(3 hati - hat j - 4 hat k) = 0. which is at a unit distance form the origin.

Find the equation the plane which contain the line of intersection of the planes vec rdot( hat i+2 hat j+3 hat k)-4=0a n d vec rdot(2 hat i+ hat j- hat k)+5=0 and which is perpendicular to the plane vec r(5 hat i+3 hat j-6 hat k)+8=0 .

Find the equation of the plane which is parallel to the lines vec r= hat i+ hat j+lambda(2 hat i+ hat j+4 hat k)a n d(x+1)/(-3)=(y-3)/2=(z+2)/1"" and is passing through the point (0,1,-1 ).

Find the vector equation of the following planes in Cartesian form: vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the unit vector perpendicular to the plane vec r.(2 hat i+ hat j+2 hat k)=5.