Exercise 1 The parametric equation of the line through the points (2,-4,1) and (0,4,-10) is: A. x = 2- 2t; y = -4 + 8t; z = 1- 11t; -∞

Q: Find parametric equations for the line through (-1,2) and (4, -8). Select all that apply. OA. x =…

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Q: a) Find the best straight line fit to the given data points (-3,7), (1,–1),and (3,–7). b) Find the…

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Q: Find the real number a such that the line of x = 1, y = 2-1, z=3+t, the plane of equation parametric…

A: Given parametric equations are x=t , y=2-t, z=3+t Where t∈ℝ and  Plane is αx+5y+z-10=0

Q: ) Find the parametric equations for the line through the point P = (-2, 5, -3) that is perpendicular…

A: topic - equation of a line through given point and perpendicular to a plane

Q: Find parametric equations for the line described below. The line through the point P(1, 1, -2)…

A: we have to find

Q: 2. In the parametric equation, x = 2t, y = 3t 1, fill the table below. t 0 1 2 3 4 5 X x = 2t y y =…

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Q: Find the vector and parametric equations for the line through the point P(-5, -3, -4) and the point…

A: Given: P(-5,-3,-4) and Q(-2,2,-5) To find the vector r(t) and the parametric equations for x(t),…

Q: Exercise 1 The parametric equation of the line through the points (2,-4,1) and (0,4,-10) is: A. x =…

A: exercise 1) given points 2,-4,1 , 0,4,-10 claim- to find the parametric equation of line through the…

Q: (3) Find a parametric equation for the line segment joining (1, 0, 1) and (0, –2, 1).

A: The direction vector of the segment is: (0,-2,1) - (1,0,1) = (-1, -2, 0) Initial point is (1,0,1).…

Q: 1. a) Find parametric equations of the line of intersection of the planes 3x- 2y+z=0 and…

A: Given : equation of a plane, 3x-2y+z=08x+2y+z-11=0

Q: Find parametric equations representing the line segment joining P(-4, 1) to Q(3, –2) as (æ(t),…

A: We have to find parametric equations to represent the line segment from P(-4,1) to Q(3,-2).

Q: Find a parametric equation for the line that passes through points A (3,-2,4) and B (5,6,-2). x = 3+…

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Q: Q1: Find the parametric rquations of the line that passes through the point P(4,2,-3) and Q(-3,2,2).…

A: Here we have to find the parametric equation of the line that passes through the point P(4,2,-3) and…

Q: O O O The parametric equation of the segment [AB] with A(1,0,5) and B(3,1,2) is: O x=1+2t y%3Dt…

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Q: EXERCISE 4.4 Given P₁ = (-1, −1, 0) and P₂ = (1, −1, 0), derive the parametric expression (P(u, 0))…

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Q: 4. Determine the parametric equation of the line that passes through (2, -1, 3) and is perpendicular…

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Q: Determine whether the solution space of the system Ax = 0 is a line through the origin, a plane…

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Q: Find parametric equations for the line through the point P(2, - 5, - 3) parallel to the vector 31 -…

A: topic - equation of a line

Q: Exercise I The parametric equation of the line through the points (2,-4,1) and (0,4, -10) is: A. x…

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Q: Exercise 1 The parametric equation of the line through the points (2, –4,1) and (0,4, –10) is: A. x…

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2)…

A: To find the following equations of line , and area of a triangle.  Since you have posted a question…

Q: 5. Find the parametric and symmetric equations of the line through the two points P = (-2, 2, -1)…

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Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations…

Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: 4. (a) Find a parametric equation and symmetric equation of the line that pases through the point…

A: We have a point P(2,-1,3) and a vector  i^+2j^-3k^ We have to find a parametric equation and…

Q: The parametric equation of the segment [AB] with A(1,0,5) and B(3,1,2) is: O x-1+3t y=t z35+2t -<…

A: Two points A and B are given we have to find the parametric equation of the line segment AB. A line…

Q: 3. What is the parametric equation for the line through the point (1 ,2, 3) parallel to the x- axis?…

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Q: Find parametric equations for the line through the point, that is parallel to the given plane, and…

A: given point 0,2,2 given plane x+y+z=3 given line x=1+t,y=2-t,z=2t

Q: Two particles travel along the space curves R1=  r2(t)= Do the particles collide? Do their paths…

A: At collision both space curves have same value of t  Given curve :…

Q: 22 a) Drive the parametric equation of straight line. D) Check whether the following two lines are…

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Q: 4. Find the parametric equation of the line through (1, 0, -2) and parallel to the line % (x – 4) =…

A: This is the answer of question no. 4.

Q: Find parametric equations of the line of intersection of the two planes. 9x + 8y - 9z = -3, -7x -…

A: According to the problem, we have

Q: Exercise 1 The parametric equation of the line through the points (2,-4,1), (2, –4,1) and (0,4, –10)…

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Q: Find a parametric representation of the solution set of the linear equation x+y+z=1 x=1-2t, y=t, z =…

A: Solution

Q: The line in R³ through the point Po(xo, Yo, zo) and parallel to the vector v = parametric equations…

A: Given that the position vector of the point is P0 (x0, y0, z0) and parallel to the vector v = (v1,…

Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4, 2)…

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Q: 9. (A) Find the parametric equations for the line through the point P = (-5, -1, -3) that is…

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Q: Find parametric equations for the line described below. The line through the point P(2, 3, 3)…

A: To find the parameter equation of the line passing through point P(2, 3, 3) parallel to the vector…

Q: 3. What is the parametric equation for the line through the point (1,2,3) parallel to the y - axis?…

A: The solution is given as follows

Q: 7. Find the parametric equations of the line passing through A(1, -2, 6) and which is perpendicular…

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Q: (A) Find the parametric equations for the line through the point P = (-3, 4, -2) that is…

A: the parametric equation of a line passing through the point (x1,y1,z1) and  having direction ratio…

Q: What is the parametric equation of line through the point (1,2,-1) and perpendicular to the plane…

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Q: Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric…

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Q: It can be shown that the parametric equations I = x1 + (x2 – r1)t, y = Y1 + (y2 – Y1)t, where 0 < t…

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Q: Exercises 15–17, find parametric equations for the line tangent to the curve of intersection of the…

A: Since you have posted a question with multiple question, we will solve first question for you. If…

Q: What is the parametric equations of the line through (2,2,2) parallel to the x- axis ? a) x = 2, y =…

A: 7) The Parametric equations of the line through (2, 2, 2)  parallel to x-axis is given…

Q: 16. Find an equation of the plane through the point (1, 1, –2) and parallel to the plane 3r – z =

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (2,3,-1)…

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Q: 13. Write the parametric equations of the line through the point P(-6, 4, 3), that is perpendicular…

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Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: Given points are, P=0,4,0 at t=0Q=-3,10,15 at t=3 Let, the vector line be, rt=u→+tv→At the point P,…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.