Which of the following statements is true? x = -1+5t 14 units. 3 A The distance form the point S(-1,5,1) to the line y=3-t ,-∞

Q: Let L be the line through the point Q = (-2, 9, -4) and direction vector -[-1, 2, -2]T. Find the two…

A: The equation of the line passing through the point x1, y1, z1 and having direction ratios l, m, n is…

Q: 4. State with a brief explanation whether the following statements are true or false. (a) The…

A: a) true The vectors (1 ,0) and (0,1) is linearly independent. We know that linearly independent set…

Q: X = Find the vector equation for the line of intersection of the planes x - 5y + 5z = −5 and x + 5z…

A:

Q: The plane passing through the three points A(4, –3, –4), B(-4, –3,2) and C(-3,3, –2) can be…

A:

Q: Find the vectors direction of F= -2yi-xJ of the points below :- (-12-1), (-21-1),(3,0). (-1₁-2),…

A: Vector, F→=-2y i^-x j^Points: -1, -1, -2, -1, 3, 0, -1, -2, -3, -2, -1, 0

Q: X = Find the vector equation for the line of intersection of the planes x − 5y + 5z = −5 and x + 5z…

A: Given the equation of planes x-5y+5z=-5 and x+5z=1. To find the vector equation for the line of…

Q: Point P₁ lies on the line {₁:[4,4,-3]+t[2,1,−1],tER, and point P2 lies on the line…

A: Solution : Given that the lines l1 : 4,4,-3+t2,1,-1l2 : -2,-7,2+s3,2,-3

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: Find the scalar equation of the line i = [-5,3] + t[2,7]. Тext Find the vector equation of the plane…

A:

Q: X = Find the vector equation for the line of intersection of the planes x - 5y + 5z = −5 and x + 5z…

A:

Q: - 3)² = 81 then, find its ce or a=<3, -1

A: 1. Given: The points are 2,3,-6 and -1, 4, 5 To find the distance between the given points. The…

Q: 3.2.1 Vector Cross Product Let vectors: A = (1, 0, −3), B = (–2, 5, 1), and C = (3, 1, 1). Part…

A: Since, you have posted a question with sub-parts greater than three. We will provide the solution…

Q: The intersection of the two planes given by the vector equations -(1)-² r. = 2 0 and 2 ()- 0 r. is 2…

A:

Q: The plane passing through the three points A(0, 1,3), B(3,4,3) and C(2,3, –1) can be expressed as a…

A:

Q: 5î Given the vector v₁ = 51 - 3ĵ in the 2D Cartesian plane, where î and ĵ are the unit vectors along…

A:

Q: Find the vector v, where u = (-2, 3) and w = (-3, -2). Su + w) Illustrate the specified vector…

A:

Q: 4

A:

Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

A:

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.