Convert the vector to cylindrical form then evaluate at the point (3,50°, 7). F = xax + yay + 4az x² + y² + z²

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: The parametric vector v=(6-t)i+(9t+8)j represents a straight line. Find the equation of this line

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Q: At an air show, a jet has a trajectory following the curve y = 3x². When the jet is at the point (5,…

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Q: Parametrize the line that passes through the point (1, 2, 3) parallel to the vector v =-3i + 7k.

A: WE know that equation of line through (x1,y1,z1) and parallel to vector ai+bj+ck is

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: We have to solve given Questions.

Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: Use the vectors u = (7, 7), v = (-6, 4), and w = (5, -3) to find the indicated quantity. (u · 2v)w…

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Q: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

Q: y =-x (b) Use it to project the vector v =

A: Given

Q: Line A goes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A and passes…

A: Given: Line A passes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A. Line…

Q: Determine the magnitude of the vector difference V¹ = V₂ - V₁ and the angle 0x which V' makes with…

A: Here,