Use Stokes's theorem to evaluate OF.dr for the given F and C. (c) F(x, y, z) = xzi+ xyj– 3xz k, C : the line segment around the plane 2x + y + z = 2 that lies in the first octant with the orientation counterclockwise looking from above. (d) F(x, y,z) = 3y i– 2xj– 4x k, C : the ellipse obtained from the intersection between the cylinder x2 + y² = 4 and the plane z = x with the orientation counterclockwise looking from above.

Q: A point on the xy-plane that does not lie on the graph of y = X+1 a) (0,0) b) (12.1) (₂ c) (−127,…

A: Given : a.

Q: Find the intersection of the planes P1  and P2. P1: has equation (x−2)+2(y−3)+3(z−4)=0 P2: is…

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Q: Let L1 be the line through the points P(1,0,2) and Q(2,1, 1), and L2 be the line defined by the…

A: Given- Let L1 be the line through the points P1, 0, 2 and Q2, 1, 1, and L2 be the line defined by…

Q: Consider the triangle T with points A = (1,0, 1), B= (1, 1, 2), C = (-1,2, 2). 1. Compute the area…

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Q: . Consider the plane P : x +y + z = 2 and point A(0,1, 2). A line L has the parametric equations L:…

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Q: Let F(x, y, z) = -3y² + 4z + 6æk and C is the curve of the intersection of the plane x + y + z = 2…

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Q: 5) Given the point Q(2, 0, 1) and a plane p: 3x + y - 4z = 24, Find the distance from Q to p.

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Q: Which of the following planes are not parallel to the plane -x+ 3y + z = 3? Select all that apply. O…

A: Our objective is to find the required plane.