Let P(x, y, z) be the point at which the line with parametric equatic x = 2 - t, y = 3+2t, z 1-t, te R, intersects the plane 22 -y+ z -3. Find the distance between the origin and the point P

Q: (b) Find a line in the plane x + y + z = 3 that is perpendicular to the line with parametric form…

A: The intersection between the given line and plane the intersection point

Q: Find the distance between the plane P:8x+3y+9%= 0 and the point (1,-5,20)

A:

Q: Begin by graphing f(x) = 2*. Then use transformations of this graph to graph the given function. Be…

A: We will transform the given function.

Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

A:

Q: Find the parametric equations for the line through the point of intersection of the lines L1:x = 2 +…

A: In line L1 and L2  't' is used as parameter but don't confuse with it. Different different line we…

Q: Derive the parametric equations of the line of intersection of the two planes: II : 2x – y + 2z = -1…

A: We need to find the vector equation of the line of intersection. In order to get it, we’ll need to…

Q: A line has parametric eauation s: x = 8 – 21, y = -9 + 3t, z = 6 – t At what time does the line…

A:

Q: Consider the plane x-y-z-8= 0. Find the point in this plane closest to the point (1, 0, 1).

A:

Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: Determine a so that the line x-3/a=y+5/2=z+1/4 is parallel to the plane 2x+3y-5z=14.

A: To determine  so that the line  is parallel to the plane .

Q: 1) Find the distance from the point (1, 2, 3) (a) XZ plane to the (b) Z axis

A: In this question we will use basic of geometry i.e concept of 3D geometry. We will first plot the…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.