Find the point of intersection of the lines given below and then find the plane determined by these lines. y = 5t - 1, y = 3s+7, z = 3t + 2, z= - 4s +1, - 0o

Q: We have two planes in IR, defined by equations I- 3y+z -7 and 2 +y+2z = 0. These two planes…

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Q: Consider the lines given by L(t) = (-8, 8, 1) +t(-3, –9, –8), -00 <t< o∞ and M(s) = (-45, –31, – 23)…

A: We rewrite the two lines as

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Consider the line which passes through the point P(-3, –3, –1), and which is parallel to the line x…

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Q: Find the point of intersection of the lines given below and then find the plane determined by these…

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Q: (a) Find the point at which the given lines intersect. r= (1,3, 0) + t(3, -3, 3) r = (4, 0, 3) +…

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Q: A point in space and let's have the line L whose equation is Q(-1,0,1) let 1 L: 3- x = y = 4 4 It…

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Q: Consider the line which passes through the point P(5, 5, -5), and which is parallel to the line x =…

A: Equation of the line :       x-x0a = y-y0b = z-z0c=k ; where x0,y0,z0 is a point and a,b,c is the…

Q: Find the distance from the point (5, 5, 5) to the line x = 0, y = 5+ t, z = 5+t. Find the point P…

A: Explanation of the answer is as follows

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: A line will lie in a plane if any two points on the line also lies in that plane. As we know between…

Q: Find the plane containing the intersecting lines: L1: x = -1 + t, y = 2 + t, z = 1 - t; -∞< t < ∞…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find an equation of the plane that passes through the point(3,5,−1) and contains the line x = 4 − t,…

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Q: Consider the line which passes through the point P(3, -1, -1), and which is parallel to the line x =…

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Q: Find an equation of the plane. The plane that passes through the point (−2, 3, 2) and contains the…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: The endpoint of a line segment  is at  P1(–2, 1, 6)  and the  midpoint Q  lies on the plane  y = 3.…

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Q: Find the plane determined by the intersecting lines. y = 2+2t y = 1+ 2s z= 1- 4t L1 x= - 1+t L2 x=1-…

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Q: Find the point of intersection of the lines given below and then find the plane determined by these…

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Q: Find an equation of the plane. The plane that passes through the point  (−2, 1, 2)  and contains…

A: Please see the explanation below

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: (a) Find the intersection point of the lines ri(t) = (3, 2, 0) + t(2, –2, 2) and r2(t) = (5,0, 2) +…

A: Solved below

Q: Consider the line which passes through the point P(-5, -5, -4), and which is parallel to the line x…

A: The vector equation of the line is given by: x = 1+5ty = 2+7tz = 3+1tr→= 123+t571So the line is in…

Q: Find an equation of the plane. the plane that contains the line x = 2 + t, y = 3 - t, z = 5 - 3t and…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the equetion of the plane contains the line x=3t,y=1+t, z=2t, and parallel to the line of…

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Q: Find an equation of the plane. The plane that passes through the point (−3, 3, 3) and contains the…

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Q: Find the plane determined by the intersecting lines. z =1- 3t z = 2- 2s L1 x= - 1+2t L2 x=1- 4s y =…

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Q: Find the plane determined by the intersecting lines. L1 x = - 1+t y = 2+ 4t z= 1-t L2 x = 1 - 4s y =…

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Q: Find the point at which the line meets the plane. x= -3+5t, y= -2+4t, z 3t, x+y+z= -5 The point is…

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Q: Find the point o

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Q: L1 and L2 intersect in a single point. Find that coordinates of that point.  b) Find an equation…

A: In this question, we have three parts. (a) we find the intersection point by taking the general…

Q: Find the equation of the plane with the given description. Contains the lines r1(t) =〈2, 1, 0〉+〈t,…

A: Find the equation of plane containing two lines: r1t=2,1,0+t1, 2, 3 and r2t=2,1,0+t3, 1, 8.…

Q: Find the plane determined by the intersecting lines. z=1- 3t z = 2-2s L1 x= - 1+2t y = 2+2t L2…

A: A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

Q: Find the indicated distance. a. The distance between the lines l1(t) = (1,2,0) + t(3,-1,1) and…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: the

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find an equation of the plane. The plane that passes through the point (−3, 2, 1) and contains the…

A: It is known that equation of a plane passing through line of intersectionof planes .…

Q: Find the point at which the line meets the plane. x=3 + 3t, y = 4 + 5t, z = - 3+4t; x + y + z = 4…

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Q: (a) Find the point at which the given lines intersect. r = (1, 3, 0) + t(3, -3, 2) r = (4, 0, 2) +…

A: Introduction: When a line in three dimensional Euclidean geometry passes through a point with a…

Q: Find an equation

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Q: Find the equation of the plane contains the line X+1/2 = Y/3 = Z-1/4 and the line of intersection of…

A: We have given the line of intersection of planes; x + 2y - 2z = 6 , 5x - 2y - z = 0 and line; X+1/2…

Q: (a) Find the point at which the given lines intersect. r = (1, 2, 0) + (2, -2, 2) r = (3, 0, 2) +…

A: The vector form of the equation of a line is r=ro→+tv→. The equation of the plane containing the…

Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1 Find the plane…

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Q: Find the plane determined by the intersecting lines. L1 x= - 1+ 3t y =2 +3t z =1- 4t L2 x= 1-4s y =…

A: Given :-  The plane determined by the intersecting lines. L1    :   x = -1 + 3t    ,    y = 2 + 3t…

Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y = z + 5…

A: SOLUTION-

Q: Find the plane determined by the intersecting lines. y = 2 + 2t L1 x= - 1+ 3t Z = 1- 4t L2 x = 1- 4s…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: Find the Point P of intersection the line X-22-3=o,y-2t=o with the plane X+3y-Z+4=0 and the distance…

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Q: 3. Find the general form of the equation of the plane containing the point Q(0, -2, 10) and the line…

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Q: х — 3 z - 5 2х + 5y %3D -7, 8 10 II II

A: Equation of plane:-   2x + 5y = -7 Equation of line is given :-   (x - 3)/8 = y/2 = (z - 5)/10

Exponential Growth Model

The relation that represents an exponential function is: