Show that there are no points (x, y, z) satisfying 2x - 3y + z - 6 = 0 and lying on the line v = (8, -8, -4) + t(1, 1, 1). If (x, y, z) lies on the line v, then x = y = and z = . Therefore, substituting these values in for x, y, and z, 2x - 3y + z - 6% D However, we are given that 2x - 3y + z - 6 = 0, and since this does not match, there are no points (x, y, z) lying on the line v.

Q: Find eqation of line through the point (4,2,1) and (0,4,2)

A:

Q: If a line L is parallel to the y-axis and pass through the point (1, 0, 1), which of the following…

A: Given query is to find the point which are on line L.

Q: 33 What point on the line through (1,2, 5) and 3, 1, 1) is closast to the point (2, -1, 5)?

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Q: A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11. y= B) Find ALL x…

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Q: If the line joining the two points (5,4)(5,4) and (3,−k)(3,−k) is parallel to the line kx−9y+11=0…

A:

Q: 25. Determine the x- and y-intercepts. a) [x, y] = [2, –4] + t[3, –1] b) [x, y] = [-8, 11] + t[5, 2]…

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Q: Assume a line y = mx + c, [asses through the points (1, 15) and (-3, -5) Determine the slope, m, of…

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Q: Let L, be the line passing through the point P-(1, -7, 5) with direction vector d-[1,-2, 0], and let…

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Q: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…

A: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…

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.