Answer to: Find the equation of the plane: The plane contains the line x=3+2t, y=t, z=6-t and is parallel to the plane 2x+4y+8z=16. By signing up,...
Answer to: Determine the equation of the plane in the form z = f x, y that is parallel to the plane 6x - 6y + 4z = 0 and passes through the point S...
The plane containing the linex−2y+3z+2=0=2x+3y−z+1and parallel tox1=y1=z1contains the point: View Solution Find the equation of the plane containing the line2x+y+z−1=0,x+2y−z=4and at a distance of1√6from the point (2,1,-1). ...
Equation of the plane in segments If the plane intersects the axis OX, OY and OZ in the points with the coordinates (a, 0, 0), (0,b, 0) and (0, 0,с), then it can be found using the formula ofEquation of the plane in segments ...
The equation of a plane in intercept form is simple to understand using the concepts of position vectors and the general equation of a plane. A problem on how to calculate intercepts when the equation of the plane is at the end of the lesson. Suggested Videos Distance Formula and Its Use ...
Thus, in the given problem we use the above result to find the equation of the plane. Answer and Explanation:1 The required equation of the plane containing(1,−1,3)and perpendicular to the vectorn=(2,1,4)is: {eq}\\2(x-1)+1(y... ...
The normal form of the plane equation can be expressed as:xA+yB+zC=DSubstituting the values we have:x1+y2+z−2=9This can be rearranged to:x+2y−2z=9 Step 5: Find the length of the perpendicular from the origin to the planeThe formula for the perpendicular distance d from a ...
Equation of a plane: n=⟨a,b,c⟩ (x0,y0,z0) a(x−x0)+b(y−y0)+c(z−z0)=0 Answer and Explanation:1 The points given areA(−1,2,3),B(2,−3,1),C(0,2,−1) Firstly, find the vectors {eq}\vec{AB}=\lan...
Joseph K T.Burger‘s Equation in the Quarter Plane, a Formula for the Weak Limit. Communications on Pure and Applied Mathematics . 1988Joseph K T.Burgers equation in the quarter plane: a formula for the weak limit. Communications in Pure Applied Mathematics . 1988...
10 The plane p has equation 2x -3y+ 6z= 16. The plane q is parallel to p and contains the point with position vector i +4j+2k.(i) Find the equation of q, giving your answer in the form ax + by +cz = d.[2](ii) Calculate the perpendicular distance between p and q.[3] ...