How.s Find (x=-6+ut ysa7+34sZ=-l)_atx =2rfarallel to the line (x=1 y=-4+2t ,z2636)and containr the line ef intersection ef thePlane(6x-+uy+37=20) and the Rlane (3x+zy+2=27). equation of the plane which intersectsthe line

Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

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Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

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Q: e. (-27,0,2)

A: Equation of the line is x-325=y-65 and z=2

Q: 3- Find an equation of the Plane perpendicular to the line through (2,2,-9) and (7,-1,3) and…

A: To Find: Equation of plane perpendicular to the line through the points (2,2,-9) and (7,-1,3) and…

Q: The distance from (-3,-4,-7) to the xz-plane is (A) -4 (B) (C) -3 (D) 3 (E) 4.

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Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2,-1) and is parallel…

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Q: Q1/ Are the following points collinear? 1- A(-3,-7), B(0,-2), C(6, 8) 2- A (9,2), B(3,8), C(-5,-4)

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Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

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Q: Write the equation form for the plane defined by co x1 + 1 Ex2 + -10 -0-0-0 + s 3 + t X = x3 = -1 3

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Q: Plane continued 32. (-5, 2) and (1, 4) 33. (1, 3) and (6, 1) Ay -4 4 -2 -2 -4 -2 -2 2 -2 -2 34. (0,…

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Q: 11) Determine the equation of the line parallel to y - 57 = -4(x + 58) that contains the point (95,…

A: Question number 11,Given,        The equation of the line parallel to y-57=-4x+58 that contains the…

Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

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Q: What is the equation of the plane through the point (4, -2, 3) and parallel to the plane 3x - 7z =…

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Q: Q1/ Are the following points collinear? 1- A(-3,-7), B(0,-2), C(6, 8) 2- A (9,2), B(3,8), C(-5,-4)

A: Here we need to find whether these points are collinear or not the points are , then

Q: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

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Q: Find the intersection of the line and plane: x + 3y – 4z = 18, r(t) = (-3, 2, –2) + t(-3, 2, – 1)…

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Q: Q3/ The distance between the plane 2x+4y-4z-22%-0 and the point(1,-2.2) will be ?

A: Basic 3d geometry problem