20. Find the coordinates of the point where the line with parametric equations x =1-1, y=3+t, z=3-21 intersects, a. the XOZ plane b. the YOZ plane

Q: Let S be the plane with equation 2x - 3y + 4z = 1. Find parametric equations of a line that goes…

A: Explanation of the answer is as follows

Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

Q: What is the parametric equation for the line of intersection of the planes x + y - z = 2 and 3x - 4y…

A:

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

A:

Q: Could you assist in determining the parametric equation of a plane passing through the point…

A: The parametric equation of a plane passing through a point  r0  and parallel to the vectors  u and…

Q: 6. Write vector and parametric equations of the plane. a) parallel to the xz-plane and through the…

A:

Q: O Find the parametric equation of the line through the point (-3,1,6) parallel to the vector V 2i +…

A:

Q: Determine the Cartesian equation of a plane that has x-, y-, and z- intercepts 1/3, 1, and -1/2,…

A:

Q: 5. Let II be the plane with equation x+y+z= 3, and let II₂ be the plane with equation 3x + 4y + z =…

A:

Q: e) Plane that is parallel to the xy-plane that contains the point A(2, 1, 3) (ca

A:

Q: 3. Find the equation of the plane that includes the point (-1,0,7) and is parallel to the plane…

A:

Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to…

A: Let's find.

Q: B 10. Write a vector equation and parametric equations for a plane that satisfies each set of…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question…

Q: 8. Determine a vector equation for the plane with Cartesian equation: 2x -y + 3z-24 = 0

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: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4…

A: This is the problem from the vector algebra and 3D geometry.

Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: Find an equation for a plane R at a distance 9 from a plane P with equation 2x + 2y - z = 3 .

A:

Q: Determine the Cartesian form of the plane whose equation in parametric form is: x = 2 + 3s-2t y =…

A:

Q: quation of the plane p containing the point P(3,1,1)and normal to the line l which has parametric…

A: we have to find the equation of the plane containing the point P(3,1,1). and normal to the plane is…

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.