The line through the point (1, 0, 6) and perpendicular to the plane a + 3y + z = 5

Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

Q: Find the equation of the plane through the line of intersection of the planes x+y+z=1and 2x+3y+4z=…

A: The equation of the plane through the intersection of the planes, x+y+z=1 and 2x+3y=4z=5, is…

Q: Which is an implicit equation for the plane through the point (-9,2, 9) and perpendicular to the…

A:

Q: 3- Find an equation of the Plane perpendicular to the line through (2,2,-9) and (7,-1,3) and…

A: To Find: Equation of plane perpendicular to the line through the points (2,2,-9) and (7,-1,3) and…

Q: Find the equation of the plane containing the points (1,1,−2),(1,2,1),(−1,2,−2)

A: The equation of plane containing the points 1,1,-2, 1,2,1, and -1,2,-2 is to be evaluated.

Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

A:

Q: Find the equation of the plane through (1, 0, 1), (−1, 2, 2) and (0, 0, 2).

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Q: Determine the coordinate of the point on the plane II: 3x + 3y + 2z = 2 closest to the point (3, 1,…

A:

Q: V(1, 1, 4) 1, 1, 4)| is increasing most rapidly at the point (1, 1, 4) Calculate the direction in…

A: We have to solve the problem

Q: Find the equation of the plane through the point P = (3, 2, 5) and parallel to the plane a + 3y+ 3z…

A: Given: Line is parallel to x+3y+3z = 5 Equation of the plane parallel to the plane x+3y+3z = 5 is…

Q: f(x,y)=sinx+cosy+xy2, where x=cost,y=sint Find df/dt at t=π/2.

A: We can find the answer as below