Question 1-3 JK in the coordinate plane has endpoints with coordinates (-4, 11) and (8, - 1). Suppose J, P, and K are collinear on JK. and JP: JK = What are the coordinates of P? 3 The coordinates of Pare (

Q: points C, D, and E are collinear on CE, and CD:DE = 3/5. C is located at (1,8), D is located at…

A: Given points C, D, and E are collinear on CE, and CD:DE = 3/5. C is located at (1,8), D is located…

Q: Question 6 | Let i = (0, 1, -1), = (2,2,0) and w = (4, 2, 2). %3D a) Show that a, ö and w lie in the…

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Q: QUESTION 3 Let A be the point with coordinates (3, 2, 0) and let B be the point with coordinates (2,…

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Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

Q: Given the points A(-6, -5,5) and B( −6, −5, 1). Question 3 a) Write parametric and symmetric…

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Q: If (V3, -3,-V4) is the rectangular coordinate of the point p, then the spherical coordinate of p =…

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Q: Question 6. Find an equation for the plane which satisfies the given conditions. 1. Passes through…

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Q: Point TT is located at (-1,1)(−1,1) on the coordinate plane. Point TT is reflected over the yy-axis…

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Q: A,B,C are three points on OX ,OY ,OZ respectively at distance a,b,c (a'0,b'0,c'0)from the origin…

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Q: A(1, 1) and B(2, -3) are two points and D is a point on AB produced towards B such that AD3AB. Find…

A: Given problem:- A(1, 1) and B(2.-3) are two points and D is a point on AB produced towards B such…

Q: Find a parametric representation of the line through the points P(4,1,2) and Q(3,5,7)

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Q: Question 19 Let L be the line passing through the point P-(-1, 2, 2) with direction vector d-[1,-2,…

A: First find the equation is line by given points and direction.  Then assume it T and convert (x,y,z)…

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a) The points are A(0,−40, 0) and B (40, 0,⎯20)A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: Question 6 [ Let ū = (0, 1, -1), ū = (2,1,0) and w = (4, 1, 1). a) Show that ū, ū and w lie in the…

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Q: A, B, and C are collinear points. B is between A and C AB = 12 BC = 18 %3D AC = 3x %3D Find x.

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Q: Question 6 Let ū = (0, 1, –1), ū = (2, 1, 0) and w = (4, 1, 1). a) Show that ū, ū and ū lie in the…

A: As per the company guidelines we are supposed to solve first 3 subparts of a question untill…

Q: Points C, D, and E are collinear on CE, and CD: DE -. Ca located at (1, 8), Da located at (4, 5),…

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Q: 1.A ( -1,5 ) , B ( 0,6 ) , C ( 2 , 4 ) segments AB , BC , and AC on the Cartesian Plane . 2.Sketch…

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Q: In the diagram below, the coordinates of figure CAT are C (1.3). A (2, –1). and T (4, –1).| Give the…

A: concept:  Whenever we rotate a point about 180° around origin (0,0) then their sign changes. Like…

Q: 1. Find the cosine value of the angle of the two planes ( 71 : 2x– y+ z+2= 0, x2 : x +2y+ z-5=0)

A: Given two planes,  π1 : 2x - y + z = -2 π2 : x + 2y + z = 5 To find the cosine value of the angle of…

Q: Question 1 A, B, and C are collinear points. B is between A and C. AB = 5x + 8 ВС - 6х- 1 %3D АC -…

A: Given , AB = 5x + 8           BC = 6x - 1         AC = 12x - 11.

Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

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Q: a. A trapezoid has been transformed on the coordinate plane as shown. Trapezoíd A Trapezoid B

A: Given that:

Q: A 2a Figure 1 In Figure 1, OACB is a quadrilateral in which OA (a) Find AB in terms of a and b P is…

A: Disclaimer: Since you have posted a multiple sub parts for the question, we will solve first three…

Q: Let A(2, 1, 1), B(1, 2, 1), and C(1, 1, 2) be three given points. Find (i) parametric and symmetric…

A: Let A2,1,1, B1,2,1, and C1,1,2 be three given points. To find parametric and symmetric equations of…

Q: 2-) Calculate the distance d of the pont P(-1,1,-2) through the throe points the plane pu sing from…

A: The distance d of the point p=(-1,1,-2) from the plane passing through the points A(1,-1,1)  ,…

Q: 12. The midpoint of AB is M. IF the coordinates of Mare and the coordinates of Bare (6, 1), what are…

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Q: A plane meets the coordinate axes in A,B,C .If the centroid of AABC is (a,b,c).Show that the…

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Q: Point TT is located at (-2,-2)(−2,−2) on the coordinate plane. Point TT is reflected over the…

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Q: The general equation of the plane that containsteh points (1,0,3),(-1,1,-3)and the origin is of the…

A: Given general equation of plane is

Q: Hw.2 Show that the triangle ABE IS right atA -where A(-l B(2,1,1),ccl,=2,2).

A: Using geometry

Q: 2. Give the parametric system of equations of the line given by the equations: 2x = 4 – 3y = ±1 Give…

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Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: Points P, Q and R are collinear such that PQ : QR=2:3 point P is located at (1,3) and point R is…

A: Topic:- Algebra

Q: 1. Given three points Q(-3, 4), E(-1, 3) and D(1,2), find QE, QD, and ED and show that they…

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Q: Question 10 Find equations for the planes: a) Passes through P(1,–1,–3) parallel to the plane 3x + y…

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Q: 1 pts Question 11 Coordinates A(-2,4) and B(-4, 1) lie on a coordinate plane. What is the midpoint…

A: In this question we need to find a midpoint of the given line segment.

Q: QUESTION 2 (a) Find parametric equation of the line segment ( L ) between the points P(1, 8, 9) and…

A: We will first test for parallels then for intersection

Q: QUESTION 4 Consider the points P =(0,0,0), Q=(4,1,1), and R=(3,1,-2) in xyz-space. An equation of…

A: Given: P=(0, 0, 0)Q=(4, 1, 1)R=(3, 1, -2)

Q: Question 1: Determine if the two planes 6x + 18y + 14z = -2 and the plane containing the points (1,…

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Q: (a) If we mark off a distance t along the unit circle, starting at (1, 0) and moving in a…

A: Topic -  unit circle

Q: Triangle DEF has coordinates D(-8, 3), E(-6, 8), and F(1, 7). Which shows the image of triangle DEF,…

A: Triangle DEF has coordinates D(-8,3) , E(-6,8) ,  and   F(1,7).

Q: Question 1 Find the equation of the plane through points P1(-2,1,4), P2(1,0,3) that is perpendicular…

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Q: Here is a clock face. 12 11 6- 8 4. 6 1. The length of the minute hand on a clock is 5 inches and…

A: ----------------------------------------------------------------- Length of minute hand = 5 inch u→…

Q: Question 6 Let ū = (0, 1, –1), ū = (2, 1,0) and w = (4, 1, 1). a) Show that ū, ū and w lie in the…

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Q: 4. ( Consider points P(1,0, 1), Q(-2,1,3), and R(4,2,5). (a) Find the parametric equations of the…

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Q: Given the three points A(2, 3, 0), B(3,0, –2) and C(1, 4, 2). (a) Find the equation of the plane…

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Q: Question 6 of 10 What is the distance between the points (4, 5) and (10, 13) on a coordinate plane?…

A: As we know that; The expression for the distance between two points Ax1,y1 & Bx2,y2 is:…

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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