Find parametric equations for the line through the point P(3, 6, 4) that is parallel to the plane x + y+ z = 2 and perpendicular to the line x = 1+t, y = 5 – t, z = 5t . 1. x = 3 – 6t, y= 6+4t, z = 4 +t %3|

Q: Find the parametric equations of the line that goes through the point P(−2, 0, 5) and is parallel to…

A:

Q: find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should…

A: Definition used -             Parametric equation of a line-             Parametric equation of…

Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

A: Given:  point A2,5Rotate by 35,45 around origin 0,0.…

Q: Find the parametric equation for the line where the planes -7x + 7y - z = 20 and 2x + 7y + 2z = 23…

A: Please see the below steps for detailed solution.Explanation:Step 1: Given −7x+7y−z=20 and…

Q: 6. (a) Find parametric equations for the line through A = (1, 2, 3) and B = (0, 2, 2). (b) Find the…

A: Solve for the given

Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

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.