Find two different planes whose intersection is the line x = 1 + t, y = 2 - t, z = 3 + 2t. Write equations for each plane in the form Ax + By + Cz = D.
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Q: Find two different planes whose intersection is the line x = 1 + t, y = 2 – t, z = 3 + 2t. Write…
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Q: Find the equation for the plane through Po(-6,9,2) perpendicular to the following line. x = - 6 + t,…
A: Given that the point is P0(-6, 9, 2) and perpendicular line: x = -6 + t, y = 9 - 5t, z = 4t
Q: find the point in which the line meets the plane x = 2, y = 3 + 2t, z = -2 - 2t; 6x + 3y - 4z = -12
A: The equation of plane is 6x + 3y - 4z = -12. The coordinates of the line is x = 2, y = 3 + 2t, z =…
Q: Find the equation of the plane containing the line: x = 2 + 10t, y = 2 – 2t, z = 9 + 4t and parallel…
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Q: Determine whether the line L : x = 3 – 4t, y= 5+2t, z = 5 + 4t, - is parallel to the plane x - y +…
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Q: Find equation of the plane that contains the lines L,:x 3+5t, y = 6+2t, z = 7t and L2: x = 7t, y =…
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Q: Find the equation for the plane through Po(-8, - 3, - 4) perpendicular to the following line. x= -…
A: Given equation of the linex = -8-t , y = -3-4t , z = 3t , -∞<t<∞we have to find the euqtion…
Q: Determine if the line given by r(t)=(-2t, 2+7t, -1-4t) intersects the plane given by 4x+9y-2z =-8…
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Q: Find the equation for the plane through Po(-7,- 4,7) perpendicular to the following line. x= -7+t,…
A: Solution: The objective is to find the equation for the plane through the given point and…
Q: Find equation of the plane that contains the lines L1:x = 3 + 5t, y = 6+ 2t, z = 6 + 3t and L2: x =…
A: Equation of plane which passes through L1 is ax-3+by-6+cz-6=0 where 5a+2b+3c=0.
Q: find the point in which the line meets the plane x = 1 + 2t, y = 1 + 5t, z = 3t; x + y + z = 2
A: Given, The equation of line x = 1 + 2t, y = 1 + 5t, z = 3t and the equation of plane is x + y + z =…
Q: Find the intersection of the line and the plane. 2x + y = 3, r(t) =〈2, -1, -1〉+ t〈1, 2, -4〉
A: We have to find the intersection of the plane 2x+y=3 and the straight line r(t)=2,-1,-1+t1,2,-4
Q: Find the points of intersection of the line x = 3+2t, y =5+7t, z = -3+t, that is, I(t) = 3+2t, 5+7t,…
A: To determine the intersection of the line with the coordinate planes.
Q: Find the equation for the plane through Po(-2, -7,- 4) perpendicular to the following line. x= -2-t,…
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Q: Find the equation of the plane that contains the line 2 5-x 2+y – 5 – z, and the 3 point P( 0,5,2).…
A: We have to find the equation of the plane that contains the line and the point.
Q: Find two di¦erent planes whose intersection is the line x = 1 + t, y = 2 - t, z = 3 + 2t . Write…
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Q: Find the equation for the plane through Po(- 4,8, - 3) perpendicular to the following line. x = - 4…
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Q: Find an equation of a (2, 1, –3). plane that goes through (-1,2,6) and is perpendicular to
A: Given, The plane goes through -1, 2, 6 and is perpendicular to 2, 1, -3 . We have to find the…
Q: Find any line equation that does not intersect the plane 2x – 5y + 3z 4. -
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Q: Find the equation for the plane through Po(-5, - 8,8) perpendicular to the following line. x= - 5-t,…
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Q: Find the equation of a plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of a plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.
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Q: Find the equation of the line of intersection of the planes: x+y+z=1, 2x+y-z=2
A: Given the two planes : P: x+y+z=1 Q: 2x+y-z=2
Q: Find the equation of the plane that contains the line x-y+z=2 , x+y+2z=D4 and the line 1= = 2-7
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6, 2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
A: Equation of plane
Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
A: The given points are (2,0,6) and (6,2,4).
Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
A: Formulation of problem: Since the plane bisects the line PQ, therefore point R is the mid point of…
Q: Find the equation of the plane bisecting the line segment joining (2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane bisecting the line segment joining(2,0,6) and (6,2,4) and…
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Q: Find the equation of the plane contains the line x=3t,y=1+t, z=2t, and parallel to the line of…
A: Given, the plane contains the lines x = 3t, y = 1 + t, z = 2t and parallel to the line of…
Q: Find an equation of the plane determined by the point P(1,1,3) and the line given by (x-2)/3 =…
A: Given that: x-23=y+14=z-42 and P(1, 1, 3)
Q: write down the equation of the pair of straight lines joining the origin to the points of…
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Q: Find an equation of the plane through the point (2,0, 1) and perpendicular to the line x = 3t, y = 2…
A: To find the equation of a plane passing through (2,0,1) and perpendicular to the line x=3t , y=2-t ,…
Q: Find the Cartesian equation of the plane through the point (5, 1,0) and parallel to the lines = 2+t,…
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Q: Find the point in which the line X = 2, y = 3 + 2t, z = -2 – 2t; meets the plane 6х + Зу - 4z 3 -12…
A: The point of intersection will satisfy the line as well as the Planes equation.
Q: Find a line passing through (−2, 5, −3) and perpendicular to the plane 2x − 3y + 4z + 7 = 0.
A: we have to find a line passing through (-2,5,-3) and perpendicular to the plane 2x-3y+4z+7=0 as we…
Q: Find the point of intersection of the line with equation L: (x,y,z) = (1, - 1,0) + t(1,1,2) and the…
A: At the point of intersection the point will satisfy the equation of both line and the plane. So…