Find the vector and Cartesian equation of the line pasing through the points (3,4,-7) and (5,1,6)

Find the vector and cartesian equations of the plane passing through the points A(1, -2, 3) and B(-1,2,-1) and is parallel to the line (x-2)/(2)=(y+1)/(3)=(z-1)/(4) .

Find the vector and Cartesian equations of the plane passing through the point (1,1,-1) and perpendicular to the planes x + 2y + 3z - 7 = 0 and 2x - 3y + 4z = 0

Find the vector cartesian equation of the plane passing through the points (1, -2, 3) and (-1, 2, -1) and is parallel to the line vecr=(2hati-hatj+hatk)+t(2hati+3hatj+4hatk)

Find the vector and cartesian equations of the plane passing through the point (2,-1, 4) and parallel to the plane vecr.(4veci-12vecj-3veck)=7

Find the vector and cartesian equations of the plane passing through the point (-1,3,2) and perpendicular to the planes.x + 2y + 2=5 and 3x+y+2z=8.

Consider the points A(3,-4,-5) and B(2,-3,1). i.Find the vector and cartesian equations of the line passing through the points A and B. ii. Find the point where the line crosses the XY plane.

Find the vector and the cartesian equations of the line that passes through the points (3,-2,-5), (3,-2,6).

Find the vector and cartesian equation of the line through the point (3, -4, -2) and parallel to the vector 9hati+6hatj+2hatk .

Consider the points A(2,2,-1) , B(3,4,2) and C(7,0,6) i.Find AB. ii. Find the vector and cartesian equation of the plane passing through these points .

Find the vector and cartesian equations of the plane that passes through the point (1,0,-2) and normal to hati+hatj-hatk .