Q: 5) Find the equation for the plane perpendicular to the plane P and containing the line L, where P:…
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Q: 20. Find the point at which the line a = 1+ 2t, y = 4t, z = 2 –t intersects the plane r+y – 2z +1=…
A: Given that, equation of line:- x=2t, y=4t, z=2-t Equation of Plane:- x+y-2z+1=0
Q: (b) Find an equation of the plane that contains the line x = 1 + t, y = 2-t, z = 4 - 3t and is…
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Q: Find the equation of the plane which passes through O and is parallel to z – (5x + 6y) = 3 x+ y + z…
A: see 2nd step.
Q: Find the equation of the plane that passes through the point (6, 0, −2) and contains a straight r:…
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Q: Find the coordinates of the point where the line F = (1+ 2t)i + tj – 2tk intersects the plane 2x – y…
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Q: H.W: Find the point where the line x=+ 2t , y=-2t intersects the plane 3x+ 2y +6z 6 z= 1+t
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Q: Q.1 Find the distance from the point P(1, -2, 3) to the plane 3x - 2y + z +1 = 0
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Q: Sketch the plane curve r(t) = t2i − 4tj and find its length over the given interval [0, 5] .
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Q: Find the point of intersection, if any, of the plane T: 4x + 2y – 2z=1 and the line l : 3 +t 1
A: Point of intersection of line and plane
Q: Find the plane thst passes through the equation of. the point P(6,0,-2) ¢ = 1+t, z=2 -t entains the…
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Q: Find the distance from the point (- 11, 12, – 7) to the given plane or axis. If required, round your…
A: topic - distance of a point from different planes and axis
Q: Find the equation of the plane containing the point P(1, 1, –1) and the line -4+t 1- t 1+t
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Q: Find the distance from the line x = 2 + t, y = 1 + t, z = -(1/2) - (1/2)t to the plane x + 2y + 6z =…
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Q: Find the point P where the line x = 1 + t, y = 2t, z = - 3t intersects the plane x + y - z =…
A: Given line: x=1+t, y=2t, z=- 3t
Q: x(t) y(t) z(t) 2 – 6t Find the point at which the line -7- 8t intersects the yz plane. 6 + 4t
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Q: H.W: Find the distance from S (1,1,3) to the plane 3x+ 2y+ 6z = 6
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Q: Find the equation of the plane through the point P=(5,2,5) and parallel to the plane 2y−4x−z=9. z=
A:
Q: Find the point P where the line x = 1+t, y= 2t, z= -3t intersects the plane x+ y -z = -3
A:
Q: (A) Find the Distance between the point (x.y.z) and the plane 3x+2y+6z = 6 If the plane meet with…
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Q: Show that the curve a(t) = (t,4,²) lies in a plane and find the equation of this plane.
A: Solution:- αt=t,1+tt,1-t2t t,1t+1,1t-t=x,y,z It is clear that, t-1t-1+1t-t=x-y+z x-y+z=-1
Q: Q5: Find the distance of the point (2. –2,1) from the line х-2 y-3 = z+2 2 4 3 measured parallel to…
A: we have to find the distance of the point (2,-2,1) from the line x-22=y-34=z+23 measured parallel to…
Q: The line X=t, y+1=t, Z=t intersects the plane. x-2y+Z=2 at the point
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Q: Find the point on the plane 4x+7y+8z−19=0 closest to the point (−2,1,3).
A: Given,
Q: d counterclockwise as viewed from above. section of the plane x+z1 and the cylinder x + y? = 9.
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Q: Find an equation of the line passing through Po and normal to the plane P. Po(2,3,4); P: 3x- 2y +z=…
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Q: find the trace of the plane in the given coordinate plane. −x + y = 4, yz
A: Let the plane P whose equation is; -x+y=4…
Q: Find the point Q symmetric to the point P (1; 3; —4) with respect to the plane 3x+y-2z=0
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Q: Find the point p(x, y, z) on the plane 2x + y - z - 5 = 0 that is closest to the origin.
A: Given:The given plane is 2x+y-z-5=0 that is closest to the origin.To find:we have to find…
Q: Find the coordinates of the point where the line F = (1+21)î + tĵ – 2tk intersects the plane 2x – y…
A: Let's find.
Q: Find an equation of the plane. The plane through the point (1, 0, 3) and perpendicular to the line x…
A:
Q: Qs/ Find the distance from the plane x + 2y + 6z = 1 to the plane x + 2y + 6z = 10.
A: General equation for the plane is given by ax+by+cz=d. Plane takes 3 dimensions for representation…
Q: The line L(t) = (4 – 3t, 3, 1 +t) intersects the plane 3x – 3y + 2z = -16 at the point when t =
A: To find the point of intersection of the line and the plane, substitute the values of x,y, z from…
Q: Find the distance from the line x = 2 + 1, y = 1 + 1, z = -(1/2) – (1/2)t to the plane x + 2y + 6z =…
A: The equation of line: x=2+t, y=1+t, z=-12-12tTherefore:x-21=y-11=z+12-12 Equation of the plane is:…
Q: The value of [F. dī where F= x?y² i + y j and C is the curve y? = 4x in the XY-plane from (0, 0) to…
A: I am solving this in step 2.
Q: Find an equation of the plane. The plane through the point (3, 0, 2) and perpendicular to the line x…
A: Given point : P3,0,2and the line L:x=9t, y=2-t, z=6+2tThe required plane passes through P and…
Q: Q1): Find the point (x, y, z) that lines on the plane x +y + 2z = 4 that is nearest to the origin.
A: This question can be solved using the concept of distance of point from a plane in three dimensional…
Q: Find the point on the plane x - 2y + 3z = 12 that is closest to the point (0, 2, 2). (x, y, z) =
A: Just I have used the Lagrange multipliers method and find the required solution.…
Q: 3. Find the equation of the plane containing both the point (1, 2, 3) and the line r(t) = (t, 2t+1,…
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Q: Find the equation of the plane that passes through the point (2, 1,2) and is tangent to the surface…
A:
Q: Find a parametrization r(t,s) for the plane which contains the point P(-9, 7, 1) and the line…
A: Use plane concept
Q: Find the general equation of the plane that contains the point (2, 0, 3) and the line x =−1+t, y =…
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Q: H.W: Find the point where the line x =+ 2t, y= -2t, z= 1+t intersects the plane 3x + 2y +6z = 6 H.W:…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Find parametrizations for the line in which the planes 3r- 6y – 2z = 3, and 2x+y-2z = 2 intersect.
A: Given Equation of planes 3x-6y-2z=3 and 2x+y-2z=2
Q: (A) Find the Distance between the point (x.y.z) and the plane 3x+2y+6z = 6 8 If the plane meet with…
A: As per the company policy i can answer only first question for you, More than that leads me towards…
Q: Find the distance from the point of intersection of liies ( X=t, y=3-3t, =-224) and (x=1+t y=4rt,…
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Q: z+2 Q5: Find the distance of the point (2. –2,1) from the line = = measured parallel to the plane 3x…
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Q: Find an equation of the plane. The plane through the point (4, 0, 1) and perpendicular to the line…
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Q: Sketch the plane curve r(t) = t2i + 2tk, and find its length over the given interval [0, 3]
A: We have, r(t)=t2i+2tk we have to determine the length of the curve over the interval [0,3]
Q: Find the equation of the plane in the form z = c + mx + my containing the line in the xy-plane where…
A: Plane
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