Find the vector equation o the line passing through (1,2,3) and parallel to the planes `vecr.(hati+hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6`

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr*(hati-hatj+2hatk)=5 and vecr*(3hati+hatj+hatk)=6 .

Find the vector and cartesian equation of the line passing through the point P (1,2,3) and parallel to the planes : vec(r).(hati - hatj + 2 hatk) = 5. vec(r).(3hati + hatj + hatk) = 6.

Find the vector equation of a lie passing through the origin perpendicular to the plane vecr.(hati+2hatj+3hatk)=3 .

Find the vector equation of a line passing through the point A(1,-1,2) and perpendicular to the plane vecr.(2hati-hatj+3hatk)=5 .

Find the vector equation of a plane passing through the intersection of the planes vecr.(hati+hatj+hatk) = 6 and vecr. (2hati+3hatj+4hatk) - 5 = 0 and through the point (2,2,1) .

Find the vector equation of the plane passing through the intersection of the planes vecr.(2hati+2hatj-3hatk)=7, vecr.(2hati+5hatj+3hatk)=9 and the point (2,1,3) .

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk)=6, vecr.(2hati+3hatj+4hatk)=-5 and the point (1,1,1) .

Find vector equations of the plane passing through A(-2,7,5) and parallel to vectors 4 hati -hatj +3hatk and hati +hatj -hatk .

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0 and parallel to x-axis.

The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is