Use Stokes's theorem to evaluate fF.dR or ff(V x F) ndo, whichever appears easier: F = xyi-yzj + xyk, with S the part of the plane 2x + 4y + z = 8 in the first octant.

Q: Determine the angle between the following two pl -x+6y + 3z - 6 = 0 2x +3z- 10 = 0

A: Formula for the angle between two planes  A1x+B1y+C1z=D1andA2x+B2y+C2z=D2 is…

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

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Q: Find the​ distance, d, between the point S(6,9,10) and the plane 10x+7y+1z=60.

A: Answer is 73/5√6.

Q: Find the distance (d) from the point (- 4, 8, 4) to the plane 2x + 5y + 4z = - 50. d =

A: image is attached

Q: gj Let v= 2; tj V = 2; +j and w=i+2j. Sketch 20, and

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Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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Q: Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

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Q: Find the equation of the XZ plane.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

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Q: Find the cosine of the angle, 0 Ses x/2, between the plane x +2y-2z= 2 and the plane 4y-5x + 3z =…

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Q: Solve the problem. Find the point on the plane x + 2y - z = 12 that is nearest the origin. Lütfen…

A: The given equation of plane is:   x + 2y - z = 12

Q: 2 Let w = z². Find the image of the first quadrant in z-plane

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