(a) A(1,2,-1) and B(2,1,-1) are two points. Find the equation of the plane, P, which passes through A and is normal to AB.

Q: x +1 L1: 2 у — 2 y 1 у — 2 z-1 x +1 L2: 1 y – 2 -1 2 3.

A:

Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

A:

Q: Give the vector equation of the line passing through P and Q. P = (5,2), Q = (3, 0) X = + t 00

A: To find the vector equation of the line passing through P and Q.P=5, 2, Q=3, 0

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

A:

Q: Find the symmetric equation for the line through the point of (2.-5,4)and a vector (3,–1,-3).

A: Given the vector is, 3,-1,-3 And the point is, (2,-5,4). The parametric equation for…

Q: P= (2,-2), Q = (4,0) ∙8-8 t X =

A: Vector equation of a line passing through two points with position vectors P(2,-2) and Q(4,0)…

Q: Give the vector equation of the line passing through P and Q. P= (3, 1), Q = (2, 0) X = + t

A:

Q: Find an equation for the plane through A(-2, 0, -3) and B(1, -2, 1) that lies parallel to the line…

A: Given points are

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.