Calculate the line integral fe F. dr, where F = (ry, r? + y? + 22, yz), and C is the boundary of the parallelogram with vertices (0, 0, 1), (0, 1,0), (2,0, -1), and (2, 1,-2). Note that this parallelogram lics in the plane z = 1-r- y. %3D

Q: What is the distance from the point P=(2, -1, 4) to the plane 3x+5y-2z =20

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Q: Find the cross product u x v where i = 3i +6j +9k and v = (- 2, – 4, 5). ux v =

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Q: 12. Find the vector with length 5 and direction angles a = B = 120°, y = 135°. = 60°,

A: 12. Given that a vector with length 5 and direction angles α=60o, β=120o, γ=1350.

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A: To determine  so that the line  is parallel to the plane .