Two points are defined in rectangular coordinates as P(8,2,1) and Q(-2,7,4). (a) Give the cylindrical coordinates of each point (b) Specify the vector in cylindrical components at P that extends from P to Q.

Q: two points in the xy plane have cartesian coordinates (2,-4) m and (-3,3) m. determine a) the…

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Q: Problem 7: Two vectors in Cartesian coordinates have components A = (3, 2, 3) and B = (4, -1, 7).…

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Q: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…

A: Two points given in the xy plane  A = (2, -4) and B = (-3,3)   Find: Distance between the A and B…

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Q: Find a vector of length 2 in the opposite direction of the displacement from P,(-2,3,5) to P,(3,5,-…

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Q: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

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Q: Determine the magnitude and direction cosines of the position vector from the point P(2, 1, – 5) to…

A: Given :            P(2, 1, -5)            Q(1, 10, 1)

Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Given the points A: (2,-1,1) and B (0,-1,-3), find the vector u = vector AB.

A: The objective of the question is to find the vector u = AB given the points A: (2,-1,1) and B:…

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Q: (a) Find the scalar products î î, ĵ· ĵ, and k · k. (b) Find î · î, î · k, and k î (c) Use the…

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Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…

A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…

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Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Given: The four vectors are, P→: 16.0 m, at 16.0̊ counterclockwise from +x Q→: 7.00 m, at 6.80̊…

Q: at the origin.

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Q: In cylindrical coordinates, P = Peyt(1, 90°, 1) and Q = Qeyl(0,0°, 1). (a) Determine the length of…

A: Given:Coordinates of P: P=Pcyl1,90°,1Coordinates of Q: Q=Qcyl0,0°,1 To obtain:The length of the line…

Q: The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4) and C(-3, 1, 5). Find: (а)…

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Q: The density of a spherical solid at a point P = (x, y, z) is given by f(x, y, z) = c(x² + y² + z²) ,…

A: The density of spherical solid at any point P(x,y,z) is given by,  Therefore, the density at point…

Q: magnitude of A

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Q: Express the vector field D = (x²+y²)⁻¹ (X2x + Y2y) in cylindrical components and cylindrical…

A: Given Express the vector field D = x2+y2-1  xax+yay in cylindrical components and cylindrical…

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Q: A vector field is given in spherical coordinates as B=RR² cos(6/2) + Rsin(0) sin(0/2) . Evaluate (V…

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Q: The resultant vector R = 9A + 5B + 2C where A = 5 i + -2 j + 7 k ; B = 6 i + 8 j + -7 k and C = -6 i…

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