H.w.2 Find equations for the line parpendi cular to the triangle (PR) and through the point (PJ if PCI,-1,2), Q (0,3,1) an RC4,3,-2)-

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: The given points are,

Q: e+y dA, A:= triangle with vertices (0;0), (1;0), (1,2);

A: Solution:- We have to evaluate the following integrals over the region A. ∫∫Aex+ydA, A=triangle…

Q: In Cartesian space, the point form of a line is e: (x, y, z) = (2 + r, -3 + 2r, 5 – 5r). - 3. a)…

A: Given: The point form of a line is l:x,y,z=2+r,-3+2r,5-5r. Calculation: (a) It is observed from the…

Q: 4. Which point on the coordinate plane below is in quadrant III? (TEKS 6.11A, RC3, RS) -8 -7 -6 F. T…

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Q: 20. Find the equation of the line through (13, 5) which makes an angle of 45 degrees with the line…

A: Given point is 13,5 and angle is 45°given equation is 2x+3y=12find the equation of line

Q: Find the equation of the plane through P(4, 3, 6) and perpendicular to the line joining P(4, 3, 6)…

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Q: In the coordinate plane shown, point C (not shown) lies on segment AB. B (10, 10) (2, 4) If the…

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Q: The point T(6, 6) is reflected over the line x = -5. What are the coordinates of the resulting…

A: The point T(-6, 6) is one unit left to the reflected axis. Thus, the resulting point should be one…

Q: If M(4, 3) is the midpoint of the line segment AB, and if A has coordinates (1, -1), find the…

A: M4, 3 is the midpoint of the line segment AB and the coordinates of A are 1, -1.

Q: If M(8, 1) is the midpoint of the line segment AB, and if A has coordinates (-5, -3), find the…

A: Given, M(8,1) is midpoint of line segment AB and A has coordinates(-5,-3) Coordinates of B=? Let…

Q: 10. If M is the midpoint of the line AB where A has coordinates (- 6,5) and B has coordinates (4,3).…

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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 A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: * the lines 2x . 3y 1=0 and 3x - y -4 = 0 ke along diameters of a circle of circumference 10 , then…

A: The equation of a circle centered at h,k is defined by the equation, x-h2+y-k2=r2, where r is the…

Q: a) Write down the equation for a line passing through points (2, 1, 4) and (1, 3, 5) b) Use the…

A: a) Write down the equation for a line passing through points (2, 1, 4) and (1, 3, 5)b) Use the…

Q: The distance from the point S(1,1,0) to the line 3t, z = 2 - t is -T = 1- 2t, y = %3D |3D اخترأحد…

A: Givne that  The point S(1,1,0) line x=1-2t,y=3t,z=2-t To find distance from the point to the line

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

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Q: 7 B 3 A 2 2 3 -1 -2

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

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Q: Ehe coordinates of the new point be? 5- B. 3 2- 2 3 -2- to A,

A: We have to find the reflected coordinates of A by the line y=x.

Q: 19. What is the coordinate for point C? (TEKS 6.11A, RC3, RS) А. (1, -2) В. (-1, -2) С. (1, 2) D.…

A: Given graph :

Q: Given points A= (2, 2) and B=(2, 14), find the equation of the perpendicular bisector of the line…

A: y= 8.0 is the answer. See the attachment

Q: 5 On a coordinate plas and point H(2,-3). V triangle FGH? (0-1)+( a. - (0-(-2))* (0+1)2-( (0+(-2))²…

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Q: 3. If the coordinates of point P are (4-3), then (R • R0)(P) is

A: Express the property of the composition of transformation. R90∘R180(P) The process must be done from…

Q: Howt Find equations for_the fallawinglines 4 The line Perfendicular to the triangle(PQR) and through…

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Q: Assuming A (3, -1, -4) And B (7,2,4), let the coordinates of point C be as we had it: as shown

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Q: What will be the new coordinates of the triangle with vertices A(0,1),B(1,2) and C(1,0) when : i) it…

A: given coordinates of a traingle ABC A(0,1),B(1,2) and C(1,0) what will be the new coordinates of…

Q: Given the points P1(-2, 1, 3) and P2(2,-1, 3), determine the coordinates of point P3 on the y-axis…

A: Any point on x-axis in 3D  is (x,0,0) Any point on y-axis in 3D  is (0,y,0) Any point on z-axis in…

Q: Points F, G, and H are collinear such as FG: FH = 1/3. If directed line segment begans at F(-5,-1)…

A: Given that F,G,H are collinear FG:FH=13 also F(-5,-1) and H(4,-1) find G

Q: Consider point W on the coordinate plane y 51 w/ 1.

A: Here if we are going through x-axis. Then it will give points 3 and -4. Because x-axis value will…

Q: The distance d of a point P to the line through points 4 and B is the length of the component of P…

A: If a vector passes through the points Cx1, y1 and Dx2, y2, then its position vector is defined as…

Q: Two sides of a rhombus ABCD are parallel to the lines Hy=5 and 6z-y= 3. If the diagonals of the…

A: For the given Rhombus ABCD: Parallel lines to which two sides of Rhombus are parallel are:…

Q: Question 1 of 10 What is the approximate distance between the points (-3, -4) and (-8, 1) on a…

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Q: Q:: A. Find the angle between the palnes 3x-6y - 2z 15 and 2x +y-2z 5 then find the equation of the…

A: The given equation of the plane is: 3x-6y-2z=15  3x-6y-2z-15=0    ....12x+y-2z=5…

Q: Find the angle between the lines whose direction cosines are given by the equations 3L+3+5n=0 and…

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Q: Consider point P(4, 2) and line /with equaiton -3x + 4y = 6. The equation of the line that passes…

A: Solved below

Q: Q: Find the angle between the lines whose direction cosines satisfy the equations 1+m +n =0,12 + m²…

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Q: Find the equation of the perpendicular bisector of each of the following line segments: a. The line…

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Q: Consider the line segment joining  A(−3, 3) and B(9, 7). (a) Find an equation, in the form of  Ax +…

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Q: Consider point P (4, 2) and line /with equaiton -3x + 4y = 6. The equation of the line that passes…

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Q: to a line Parallel Draw the line with equation through the 3y+4x-1%3D0 Doint (S, 1) (two Straight…

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Q: Find the angle, in degrees, between the 2 planes with equations X-y+3z=1 and 3x+ y-z=D2

A: Take the normal vectors of the planes x-y+3z-1=0 and 3x+y-z-2=0 as N1⇀ and N2⇀ respectively.…

Q: Find the equation for the line passing through and perpendicular to Hhe plane P= (!,2,-3)…

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Q: The angle bisector at vertex B of AABC meets AC at D. If BC = 6, AC = 40 and CD= 15, find AB. Find…

A: a.  Given that angle bisector from vertex B meets AC in D. BC=6, AC=40, CD=15, AB=?…

Q: A point moves so that the ratio of its distances from 3x + 4y + 8 = 0 and 4x + 3y – 6 = 0 is 2. Find…

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Q: Find the angle between the lines whose direction cosines satisfy the equations 1+m+n= , 12+m2+n2=0

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Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…

Q: Graph the image of square TUVW after a reflection across the y-axis. 10 6- 4. W V -10 -4 0. 4. 10 -4…

A: Draw a schematic diagram of given figure. .

Q: Suppose the equation of line s is y=2. What are the coordinates C' of ΔA'B'C' for Rs? A.(­­–1, –4)…

A: Here we have to find the required coordinates which are symmetric about the given line y=2

Q: In the problem we use distance formula. Show that the points A(-1,3), B(3,11), and C(5,15) are…

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