The line (x,y,z)=(3+t,1−2t,−4+3t)(x,y,z)=(3+t,1−2t,−4+3t) intersects the line (x,y,z)=(2+u,6−4u,2−3u)(x,y,z)=(2+u,6−4u,2−3u). a. Determine the point of intersection using any method you prefer. b. Write an equation that represents all of the points 4 units away from the intersection

Q: Find the intersection of the lines r(t)=⟨1−2t,13+6t,9+8t⟩r(t)=⟨1−2t,13+6t,9+8t⟩ and…

A: Points are:-

Q: What are the coordinates of P(23t/2)? А. (-1, 0) В. (1, 0) С. (0,1) D.(0,-1)

A: Solution

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

A:

Q: Find the Cross product of A= and B=

A:

Q: Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

A: Step 1: Step 2: Step 3: Step 4:

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

A:

Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

A:

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: Given that σ is the part of the surface z = 2 − y in the first octant from x = 0 to x = 1. If ψ(x,…

A:

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: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: What are the points of inter section of y = 8 and f(x)

A:

Q: The graph of the linear equation r=y passes through the point: O (4, 4) O (4,0) O(0,-4) O (4,-4) O…

A: Given equation  x=y

Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

A:

Q: Find point P(x,y) if it is equidistant between points A(2,9) and B(-3,6)

A: Given:-  Px,y is equidistant  from the points  A2,9  and  B -3,6 i.e,  AP=BP and  we know  that…

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

A:

Q: The standard form of the equation of a line going through (3, -3) and (0, 2) is: 5x - 3y + 6 = 0 Oy…

A:

Q: A point P(x, y) moves so that the sum of the squares of its distances from points A(0,0)and B(2,-4)…

A: Given,           A point P(x, y) moves so that the sum of the squares of its distances from points…

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.