Example (Coordinate Transformations) Given the rectangular coordinate vector Vx² +y² x² +y² +z' A = yz x² +y2 +z² transform coordinates. A into spherical (а.) the vector cylindrical and (b.) transform the rectangular coordinate point P (1,3,5) into cylindrical and and spherical coordinates. evaluate the vector A at P in rectangular, cylindrical and spherical coordinates (с.)

Q: Draw arrows representing: (8, 12), (-6,4), (2, -12), (4, 10) 12 10 10 12 8- 10- 12- 14

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: Using || || and 0, give the vector in (x, y)-form. II

A: We have to write the x,y form of vector v.

Q: Use the vectors u = (7,7), v = (-9, 6), and w = (7, -1) to find the indicated quantity. (u.v) - (uw)

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Q: Find the vector in the direction of ⟨5,−12⟩ with length 3.

A: Given that: Vector is in the direction of <5, -12> and length is 3.

Q: Determine vector and parametric equations for the line in R that passes through the points A(1,0, 1,…

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Q: Zero component of the curl For what vectors n is(curl F) ⋅ n = 0 when F = ⟨y, -2z, -x⟩?

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Q: Vector A = 6i + 2j - 3k Find the

A: Given: Vector A=6i+2j-3k  To find: Scalar component of A perpendicular to the x-axis.

Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations…

Q: Apply the transformation -1 0 1=-1| For the vectors (1, 2) and (2,-3), perform the geometric…

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Q: Find the equation of the plane with normal vector n = (8, 7, 3) passing through the point (4,,9) in…

A: Use equation of plane and put value

Q: Vector 7= (6, -2,-2) has initial point (-9, 12, 6). Find the terminal point.

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Q: Linear Algebra Find the symmetric and parametric equations of the line that passes through points…

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Cylindrical Coordinate System

The distance from a selected reference axis, the direction from the axis relative to a selected reference direction, and also the distance from a selected reference plane perpendicular to the axis area unit, all accustom outline purpose positions in a cylindrical reference frame. Counting that the aspect of the reference plane faces the purpose, the latter distance is expressed as a positive or negative variety.