A Find the value of J G dL if G = x'a, - xyza, given points P,(1,2,3) and P;(5,0,4) and a path consisting of: (a) the straight line segments connecting P, tq (5,2,3) to (5,0,3) to (5,0,4): (b) the straight line which is the intersection of the planes x = 5- 2y and y = 8 – 22.

Q: Let L : +t 2 be a line and P(5, –1, -2) a point. Let Q be the closest point on L to P. !! a) Find…

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Q: A line that passes through the origin in the xy-plane has a slope of . Which of the following is a…

A: Topic:- equation of line

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: Let L, be the line passing through the point P=(8, -6, 0) with direction vector a=-3, 3, 1]", and…

A: Given, L1 is the line passing through the point P1=8,-6,0 with the direction vector d1→=-3,3,1T. So,…

Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

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Q: If I is a line passing through the point (1, 2, 3) and perpendicular to the plane 2r+3y-== 5, which…

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Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

Q: Through any point (x, y) of a certain curve which passes through the origin. lines are dawn parallel…

A: Draw the sketch of two possible cases of the given problem:

Q: Which of the following points is on the line with the given equation y = 1- 4x? A) (0, 0) B) (-1,…

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Q: A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11. y= B) Find ALL x…

A: To find  A) Find all y such that the distance between the points (-1, 5) and (9, y) is 11.   y=   B)…

Q: Q4) find the relation between x,y such that the point (x,y) is equidistant from the points * ?((7,1)…

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Q: The vertices of AJKL are J(-3, 4), K(3, 0), and L(-5, -4). The equation of the median JLis y = 0.…

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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: The direction vector of the line  given by:        x=1+4ty=2+1tz=3+3t is :    r→=123+t413 So, The…

Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: Let Lz be the line passing through the point P-(10, 1. –10) with direction vector d--2, -2, 3]", and…

A: We will use formula for the shortest distance.

Q: Question 2: The locus of mid points of the perpendiculars drawn from points on the line x = 2y to…

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Q: 3) The straight line l passes through the points (0,1,5) and (2, –2, 1). Find the y - and z…

A: Using Cartesian equation.

Q: 1- Find the slopes of the sides of triangle with vertices (0, 3), (2, 0), and ( 8. (6,). Is that a…

A: As per our guidelines ,we can solve only first question . Please repost other questions that need to…

Q: Let L: be a line and P(5,-5, -4) a point. Let Q be the closest point on L to P. a) Find the point Q.…

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Q: Let Lz be the line passing through the points Q1=(1, 3, 1) and Q2=(7, 12, 4). Find a value of k so…

A: We will solve the problem

Q: the

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Q: Let L, be the line passing through the point P-(1, -7, 5) with direction vector d-[1,-2, 0], and let…

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Q: Find ((x2 + 4y)i + 3 y j) · dř where C consists of the three line segments from (1,0,0) to (1,4, 0)…

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Q: One of the endpoints of line segment AB is A(11,16). Determine the coordinates of point B if the…

A: LIne segment AB is givenA(11,16)midpoint M(52,92)To find: B(?,?)