Find the intersection of the line 1₁: x-6 2 || y+2 1 with the plane p: x-6y - 2z - 10 = 0

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

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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: Enter any point on the plane 6x + 5y + 5z = 18

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Q: Find the line of intersection between the two planes x+2y-z = 5 and x-4y+z=3

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Q: Draw v = [ 4/1 ] and w = [ -2/2 ] and v+w and v-w in a single xy plane.

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Q: Determine the point on the graph of z = x² + y²+ 10 closer to the plane x + 2y-z = 0

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Q: The x =5 will be (parallel or perpendicular) to the yz-plane.

A: In a 3D cartesian coordinate system, the YZ plane is defined by the equation…

Q: Find the point at which the line (1, 2, 3) + t(5, 1, 1) intersects the plane -4x - 4y + 4z = -160.

A: Any point on the line <1, 2, 3> + t<5, 1, 1> can be expressed as         (1 + 5t, 2 + t,…

Q: -:Q1 Evaluate , (x- 2y) dA, where R is the parallelogram in the xy-plane with vertices (0,0), (4,1),…

A: The objective is to evaluate ∫∫Rx-2ydA where R is the parallelogram in the xy plane with vertices…

Q: Find the intersection point(s) (if any) of the line r(t) = (-33, 5, 6) +t(9, -3, 4) and the plane…

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