ind the angle of an intersection between the two planes 2x+y-z-3 and x+2y+z=3. In addition, determine the equations of perpendicular lines on each plane if both planes share the point (1,1,0)

Q: Given two lines in space, either they are parallel or they intersect each other or they are skew? If…

A: Standard form of the equation of the line is (a+bt,c+dt,e+ft), where t is a parametric variable and…

Q: Find the distance from the point to the given plane. (1, -4, 6), 3x + 2y + 6z = 5

A: Given:   3x + 2y + 6z = 5     Point: ( 1 , -4 , 6 )

Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y Z…

A: The plane passes by P2,0,-1 and that is perpendicular to the line x-5-2=2-y4=z-23

Q: 9. Can one line be perpendicular to two other lines that intersect? Ex- plain.

A: It is possible in three dimensional geometry but its impossible in two dimensional geometry.

Q: Find the angles between the planes x + y = 1, 2x + y - 2z = 2

A:

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and…

A:

Q: Find the symmetric equation of line L, that passes through the points (1, 8, 9) and (5, 9, 0).…

A: 9

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: The distanced of a point P to the line through points A and B is the length of the component of AP…

A: Answer

Q: A line passes through the points (12 m, 8 m) and (-3 m, -5 m). Determine the perpendicular distance…

A: Given: Points: (12, 8) and (-3, -5)

Q: Let A be the point with coordinates (-3, -2, 3) and let B be the point with coordinates (2, 0, 0).…

A: To find the distance from point D to line l.

Q: Find the point of intersection of the pair of lines if it exists. (If an answer does not exist,…

A: Solve the both equation

Q: Show that the lines with symmetric equations x = y = z and x + 1 = y/2 = z/3 are skew, and find the…

A:

Q: The distanced of a point P to the line through points A and B is the length of the component of AP…

A:

Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: the coordinate plane be

A:

Q: 4. Find the equation of line 4 that is parallel to v=-i+3j+2k and goes through the point (-6,20,1).…

A: Answer is mentioned below

Q: The planes 3x + 6z = 1 and 2x + 2y - z = 3 intersect in a line. Find equations for the line of…

A: Given equation of planes - 3x+6z = 1                ........................(1)2x+2y-z = 3…

Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

A: Consider the given line L1 and L2.…

Q: ind the product of the lengths of the perpendiculars drawn from (2,1) upon the lines…

A:

Q: Find the distance from the point to the given plane. (1, -3, 4), 3x+2y+ 6z = 5

A: Distance from point to plane formula If Ax + By + Cz + D = 0 is a plane equation, then distance from…

Q: Find an equation of the plane through (1,8, 5) that is perpendicular to the line x – 2 = 3t, y + 3 =…

A:

Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: the distance between point and our plane is (-3, 3, -2) and not (-3, -3, -2)?

A:

Q: Find general point for the lines The line through (0, -7, 0) perpendicular to the plane x + 2y + 2z…

A:

Q: Determine whether the two planes x-y + 2z = 1 -x-y +z = 3 are parallel or intersecting. Find their…

A:

Q: The 3 lines x = 3, y – 2.5 = --(x – 0.5), and y – 2.5 = x – 3.5 intersect at point P. Find the…

A:

Q: Find the angle between two planes -3/2x- 6y+ z= 4 and 2x−y−1/2z= 7 , also find an equation for the…

A:

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

A:

Q: 8. A plane must begin its descent when it is 80 feet above the ground and 250 feet from the airport.…

A: Given:- A plane must begin its descent when it is 80 feet above the ground and 250 feet from the…

Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

A:

Q: If two planes intersect, is it guaranteed that the method of setting one of the variables equal to…

A: Let say one the intersecting two planes is Ax + By + Cz =D When we put z = 0 the Plane reduces to…

Q: We know that to plot a point on the plane, we need the two coordinates x and y. So (xi, yi) stands…

A: For drawing a line we must need 2 points, without 2 point we can't determine a specific line.

Q: Represent two planes that intersect at a line represented by 3 +2

A: There are so many pair of planes that represents the same line.

Q: Find the equation of the plane that passes through (3,4,-1) and contains the line of intersection of…

A: To work out the equation of the required plane satisfying the given geometric conditions

Q: Find the equation for the plane through Po(-5, - 8,8) perpendicular to the following line. x= - 5-t,…

A:

Q: Find an equation of the plane that passes through the point (18, -16, 9) and contains the line given…

A:

Q: Find an equation of the plane through (4, 1, –4) that is perpendicular to the line x – 2 = 5t, y+3 =…

A:

Q: Find the distance between the parallel planes 10х — 5у — 52z — 26 — 0. 2х + у + 2 %3 0 and - - NOTE:…

A:

Q: Do two points determine a plane?

A: No.

Q: Two lines having an equation of 4x + 3y – 11 = 0 and 5x – 12y + 2 = 0 intersect each other. Find the…

A:

Q: Let A be the point with coordinates (-3, -2, 3) and let B be the point with coordinates (2, 0, 0).…

A:

Q: Do two intersecting lines determine a plane?

A: Two lines intersect at only one point.

Q: 4:x 3+6r, y =-2+9t,: =1-12t and L:x=-1+4t, y 3+6,-8r

A: We are given L1: x=3+6t, y=-2+9t, z=1-12t. So, L1: x-36=y+29=z-1-12. Thus, a1=6, b1=9, c1=-12. We…

Q: how do i prove that the diagonals of a parallelogram bisect each other ? Then have to name…

A:

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.