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(6 pts.) Find the equation of the plane passing through the point (12,-3,5) and parallel to...
Write a slope-intercept equation for a line passing through the given point that is parallel to...
Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line. 43. (3,5), y = 4x+1 44. (-1,6), f(x) = 2x + 9 45. (-7,0), y = -0.3x + 4.3 46. (-4.-5), 2x + y = -4 47. (3.-2), 3x + 4y = 5 48. (8,-2), y = 4.2(x - 3) +...
(5) Equations for Planes. (a) Find an equation of the plane passing through (1,2,3) that is...
(5) Equations for Planes. (a) Find an equation of the plane passing through (1,2,3) that is parallel to the plane r -y + 2z = 5. (b) Find an equation of the plane passing through the point (0,1,0) and containing the line r = (-t, 2t, 4t).
Find the equation of the line passing through the point (1,2,3), and perpendicular to the plane...
Find the equation of the line passing through the point (1,2,3), and perpendicular to the plane x + y + z = 6.
Find the equation of the line passing through the point (1,2,4) and perpendicular to the plane...
Find the equation of the line passing through the point (1,2,4) and perpendicular to the plane x−y + z = 3
--1)+3y+2(z-4) 0 (9) Find an equation of the plane (a) through the point (2,0, 1) and...
--1)+3y+2(z-4) 0 (9) Find an equation of the plane (a) through the point (2,0, 1) and perperndicular to the line a =3t, y 2- t,z3t+4 (b) passes through the point (1,-1,-1) parallel t the plane bz-y-z6 (c) passes through the point (3,5,-1) and contains the line a 4-t,y = -1+2t, z3t (d) passing through (-1,1,1), (0,0,2) and (3,-1,-2).
3. (15 pts) Find the equation of the plane through the point A=(0,1,0)'and perpendicular to a...
3. (15 pts) Find the equation of the plane through the point A=(0,1,0)'and perpendicular to a line which is parallel to the vector d = (1,1,-1)". Calculate the distance from the point B = (1,0,2)' to this plane.
Q) Find the parametric equation of the straight line Passing through the point (A) and Parallel...
Q) Find the parametric equation of the straight line Passing through the point (A) and Parallel to the line (BC). A (2, -1,5), B(-4,5,6) and c(-2,-3,-2)
Find an equation of the plane. The plane through the point (8, -7,-8) and parallel to...
Find an equation of the plane. The plane through the point (8, -7,-8) and parallel to the plane 5x - y -z = 1
3. Determine plane equation passing through points A(3,1, -1), B(2, 3, 4), C(-2, -3,5) Show calculation...
3. Determine plane equation passing through points A(3,1, -1), B(2, 3, 4), C(-2, -3,5) Show calculation steps clear and cleanly.
5) Find the equation for the tangent plane passing through the point (3, 1,0) for the...
5) Find the equation for the tangent plane passing through the point (3, 1,0) for the function: z = ln(x – 2y) Please put your final answer in the form z = ax +by+ c, where a, b, and c are real valued constants.
Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line. 43. (3,5), y = 4x+1 44. (-1,6), f(x) = 2x + 9 45. (-7,0), y = -0.3x + 4.3 46. (-4.-5), 2x + y = -4 47. (3.-2), 3x + 4y = 5 48. (8,-2), y = 4.2(x - 3) +...
(5) Equations for Planes. (a) Find an equation of the plane passing through (1,2,3) that is parallel to the plane r -y + 2z = 5. (b) Find an equation of the plane passing through the point (0,1,0) and containing the line r = (-t, 2t, 4t).
--1)+3y+2(z-4) 0 (9) Find an equation of the plane (a) through the point (2,0, 1) and perperndicular to the line a =3t, y 2- t,z3t+4 (b) passes through the point (1,-1,-1) parallel t the plane bz-y-z6 (c) passes through the point (3,5,-1) and contains the line a 4-t,y = -1+2t, z3t (d) passing through (-1,1,1), (0,0,2) and (3,-1,-2).
3. (15 pts) Find the equation of the plane through the point A=(0,1,0)'and perpendicular to a line which is parallel to the vector d = (1,1,-1)". Calculate the distance from the point B = (1,0,2)' to this plane.
Q) Find the parametric equation of the straight line Passing through the point (A) and Parallel to the line (BC). A (2, -1,5), B(-4,5,6) and c(-2,-3,-2)
Find an equation of the plane. The plane through the point (8, -7,-8) and parallel to the plane 5x - y -z = 1
3. Determine plane equation passing through points A(3,1, -1), B(2, 3, 4), C(-2, -3,5) Show calculation steps clear and cleanly.
5) Find the equation for the tangent plane passing through the point (3, 1,0) for the function: z = ln(x – 2y) Please put your final answer in the form z = ax +by+ c, where a, b, and c are real valued constants.
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