The planes 4x + 4y + 3z = -15 and y - 5x - 2z = 11 are not parallel, so they must %3D intersect along a line that is common to both of them. The vector parametric equation for this line is L(t) =

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: The parametric vector v=(6-t)i+(9t+8)j represents a straight line. Find the equation of this line

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Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: rite the equation of the line passing through P with direction vector d in vector form and…

A:

Q: A particle moves linearly from the point (- 2,4) to (10,0) in 4 seconds. Find parametric equations…

A: The given points are x1,y1=-2,4;x2,y2=10,0 So the slope is given by: m=y2-y1x2-x1=0-410--2=-13

Q: Find the parametric equations for the line in which the planes x-2y+4z=2 and x+2y-2z=6 intersects

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Q: Consider the Point (-2,1,3) and the plane -3x2 +x2 +4x3=7. Find parametric equations of the line…

A: The direction vector of a line perpendicular to a plane is same as the normal vector of the…

Q: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

A:

Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8…

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become:

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.