Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE.) x - 3 L= z - 7 14 3x + 4y = -7, %3D %3D (x, y, z) = Determine whether the line lies in the plane. The line ---Select-- v lie in the plane.

Q: L:x=t, y=-t+2, z=t+1 L:x= 2s+2, y=s+3, z = 5s+6 Find the equation of the plane determined by the…

A: Equation of plane. Write in vector form.

Q: E. Find the point of intersection of the plane 2x+3y+z 5 and the line x- 3 y+4 z- 1 1 II

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Q: (vi) Find an equation of the plane that passes through the line of intersection of the planes x – z…

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Q: Find the equation of the plane through the line of intersection of the planes x+y+z=1and 2x+3y+4z=…

A: The equation of the plane through the intersection of the planes, x+y+z=1 and 2x+3y=4z=5, is…

Q: Q4. Find an equation of a plane that contains the line x=t, y=1+2t, z=2-t.

A: We have to find the equation of plane .       According to our guidelines ,we cannot solve all…

Q: Find the point at which the line x(t) y(t) z(t) - 5+ 5t -6-8t intersects the z plane. - 7+8t

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: 4x + 5y = 10 x-1/5 = y+1/-4 = z-7 now make x in y form x-1/5 = y+1/-4 -4x +4 = 5y+5 4x =-5y -1 put…

Q: H.W: Find the point where the line 8 +2t, y= -2t , z= 1+t intersects the plane 3x + 2y +6z = 6

A: We have to find the point where the line x=83+2t, y=-2t, z=1+t intersects the plane 3x+2y+6z=6.

Q: Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = 0.

A: Given Line is x=1+t,y=2t and z=-3t  And Given plane is x+y-z=0

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: O Find an equation for the plane throught (l,-l,3) parallel to the plane 3x+y+Z=7

A: 1) To find the equation of the plane passing from (1,-1,3) and parallel to the plane  3x+y+z=7

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Q8) The distance between the line x=-1+t, y=3+2t, z=-t and the plane :2x-2y-2z=3 is

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: hnd an equation of the plane through the point (1,5,4) and perpendicular to the line x =1+ 7t ) y=t,…

A: we have to find the equation of the plane through the point (1,5,4) and perpendicular to the line…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: For the solution of the problem follow the next step.

Q: Q8) The distance between the line x=-1+t, y3D3+2t, z=-t and the plane 2x-2y-2z=3 is: *

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Q: the plane according to the equations x = t² + 2t and y = 2t³ – 6t. Find dy/dx c. 3 d. 4

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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: 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 point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: x-2 y-3 z+2 Q5: Find the distance of the point (2.-2,1) from the line %3D 2 4 3 measured parallel to…

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Q: H.W: Find the point where the line 8 x=+ 2t , y= -2t , = 1+t intersects the plane 3x + 2y +6z = 6

A: Given that:                    The line with equation:      x=83+2t, y=-2t, z=1+t     & Plane:…

Q: nd the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: H.W: Find the point where the line y=-2t, 1+t intersects the plane 3x+2y +6z 6

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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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(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: This question is related to plane and lines, we will solve it using given information.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given:   Plane→   2x+3y = 10  Line→       x-1 3= y+1-2 = z-9

Q: Find the point at which the line r(t) y(t) z(t) = -6-7t 7+t - 54t intersects the z plane.

A: Let's find intersect points.

Q: x-2 y-3 z+2 Q5: Find the distance of the point (2. –2,1) from the line 2 4 3 measured parallel to…

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Q: y. Find the exact coordinates of the point of intersection of the line x+2 = 3 and the plane 3. 2x -…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

Q: Q/ Find the angle between the planes (x+y+Z=1)and (x-2y+32=1). And find the Symmetric equations for…

A: We have to find angle between two planes

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: :: Find the y-coordinate of the point on the plane x+ 6y + 7z = 3 that is closest to the point (-14,…

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Q: Q2) Find the distance from the point P (1, 2, 3) to the plane x-3y + 2z= 4.

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Q: Find the point at which the line meets the plane. x = - 3 + 5t, y = 3+ 6t, z = - 2 + 3t; x + y +z =…

A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

Q: H.W 8- Find equations of the planes that are parallel to the plane x +2y- 2z= 1 and two units away…

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Q: Find the point on the plane x – 3 y – 2 z = 14 that is closest to the point (0, 3, 3) .

A: We have the plane x-3y-2z=14 The normal vector to a plane ax+by+cz=d is a,b,c Hence, the normal…

Q: Q4. Find the angle between the plane -2x + y- 2z 0 and the plane generated by the points P1(0, 0,…

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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 the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line x-38=y2=z-714=tAny point on the line is of the form,x=3+8t,y=2t,z=7+14t,Put…