Give a vector parametric equation for the line through the point (3,4,−2) that is parallel to the line ⟨−4−5t,3+4t,−2−3t⟩

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

A: Given  Point : (8,-9,4) Vector : 1,5,-23

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A: Given line is  The direction ratios of given line are proportional to <-3,9,-1>. Since the…

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Q: (a) Find a vector parallel to the line of intersection of the planes 4x + 3y – 2z = -5 and -5x + y –…

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Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: (a) Find a vector parallel to the line of intersection of the planes -x + 3y + 4z : 0 and -x - 3y –…

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Q: Find a vector equation and parametric equations for the line that passes through the point (2,1,-3)…

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Q: Find the vector equation and parametric equations of the line passing through the point P(5, 6, 7)…

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Q: Find both the vector equation and the parametric equations of the line through (0,0,0) and (5,2,4),…

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Q: Find the parametric equations of the plane that contains the point (3,-2,0) and is parallel to the…

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Q: give the equation of the line in vector form, parametric form and symmetric form. k) The line…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

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Q: Find both the vector equation and the parametric equations of the line through (0,0,0) that is…

A: Here we find the vector and parametric equations of line.

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

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Q: Equation of the plane passes through the point (1, 2, 3) and parallel to the vector A= 2i+3j :+k and…

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Q: Find both the vector equation and the parametric equations of the line through (3,3,1) that is…

A: If line perpendicular to both lines the direction vector perpendicular to both parallel vectors of…

Q: A line passes through the points P(-9,5, - 1) and Q(10,1,2). Find the standard parametric equations…

A: Solve by using parametric equation of line

Q: Find the vector and parametric equations for the line through the point P(-2, 1, -5) and the point…

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Q: (a) Find a parametric equation and symmetric equation of the line that pases through the point (2,…

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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…

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Q: Find the equation of the line that goes through the point (1,3, 2) and is parallel to the line (3t –…

A: The given line equation in parametric form is x=-2+3t y=1+2t z=4+t The direction ratio is…

Q: 5. Define points P = (-3, 2, 0), Q = (0, -4,3) and R = (2, -7, 2). (a) Find the vector equation,…

A: 5.a)Given:    P=-3,2,0    Q=0,-4,3    R=2,-7,2 Vector equation of the line passing through P and Q…

Q: Find both the vector equation and the parametric equations of the line through (0,0,4) in the…

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Q: Consider the line which passes through (1,-2,-2) and (2,0,1) (a) Write a vector equation, a…

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Q: Give a vector parametric equation for the line through the point (1,2) that is perpendicular to the…

A: Here ,       given line -3-3t,3-2t    we gave to find the vector parametric equation for the line…

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

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Q: Find the vector and parametric equations for the line through the point P=(0,-3,1) and the point…

A: 1. Given point P=0,-3,1 and Q=-2,-4,2 We have  OP→=0-31  and OQ→=-2-42 Direction of the line will be…

Q: Give a vector parametric equation for the line through the point (-1, –1) that is perpendicular to…

A: Consider the given parametric equation of line 5+4t,5t−3Find the parametric equation of the line…

Q: Find both the vector equation and the parametric equations of the line through (0,0,0) that is…

A: u = < 0,2,2>  w = < 2,-2,0>  U× W is perpendicular to both u and w

Q: Q1: Find the vector equation, parametric equations, symmetric equations for the line that pass…

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Q: Find the equation of the line passing through P= (-3,4,6) 'and Q = (5,-1, 0) %3D a) vector Equation…

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(-8, 2, 0),…

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Q: Find the parametric equation of line that passes throught the point (1,-2,4) and is parallel to the…

A: The given point is (1, -2, 4) and parallel to the vector v=[2, 4, -4].

Q: If the line passes through the point (4,2,3) is parallel to the vector V = i +4j-2k : a) Find a…

A: We will find out all the required values.

Q: A) find a vector parallel to the line of intersection of the planes -3x - 2y - 2z = -1 and -4x - 2y…

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Q: (a) Find a vector parallel to the line of intersection of the -2. 3y - 4z planes -x + 3y + 4z = 0…

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Q: 4. Find parametric equations of a line passing through (-1, 2, -2) that is parallel to the plane…

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Q: Take the parametric equations of the lines [x/13 = y/3 = z/8] and [x-11/-10 = y-3/-4 = z-8/-7]; Find…

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Q: Write vector and parametric equations of the plane. a) parallel to the xz-plane and through the…

A: If there is a constant k, then x = k represents a plane parallel to the yz-plane, y = k is a plane…