Express in circular cylindrical coordinates.
Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…
A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)
Q: Convert Unit vector from point A(4, 60°, −1) to B(2, −30°, 3) into Cartesian coordinates.
A: The given co-ordinates are cylindrical co-ordinates. This has to converted to cartesian co-ordinate…
Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…
A: The magnitude of the cross product is given by A→×B→ = A B sinθ where, θ is the angle between two…
Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В
A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…
Q: A curve in three dimensional space is parametrized as F(u) = cos(u)i + sin(u)j + cos(3u)k, и є [0,…
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Q: Find a vector (v) with an initial point <-5,-5,-4> and a terminal point of <4,-10,4>.…
A: The objective of the question is to find the vector v with given initial and terminal points and…
Q: Given vector M= 4 î + 4 ĵ − 5 and vector N= 5 î − 4 ĵ − 3k̂ , calculate the vector product, vector…
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Q: Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for…
A: The required direction vector for [1 2 1] is shown in the figure below.
Q: Find a unit vector perpendicular to i+j+k and 2i+3j-k
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Q: Find the x− and y− components of the vectors A~, B~ , C~ , and D~ . Take A = 10.0, B = 7.00, C =…
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Q: or the two vectors: (vectors)G= 2ˆi-3ˆj+1ˆk and (vector)H= 2ˆi+1ˆj-1ˆk what is (vector)G· (vector)H?…
A: Given data The vector G is given as G→=2i^-3j^+k^. The vector H is given as H→=2i^+j^-k^. The dot…
Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…
A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y A-B = (12.5)x+(15)y
Q: = Given the following vectors: A 15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 m at…
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Q: lands at the point having the coordinates (1.84, 1.18) m, determine tne polar coordinates or the…
A: x= 1.84m and y= 1.18m
Q: For the vectors a = and b = find orthab.
A: Vectors are given as and Note:Find:Orthogonal projection of on , that is,
Q: 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the…
A: Given:- Vector B lies in x-y plane at an angle 30°with x-axis To find:- Formula used:-
Q: With two vectors in Cartesian coordinates have components A = (1, 1, 3) and B = (4, 2, 5). What…
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Q: Let vector A point from the origin into the second quadrant of the xy plane and vector B point from…
A: When subtracting vectors, the rule is to graph the first two from the origin and then connect them…
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…
Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…
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Q: Consider the vectors a = i + 2j and b = j + k Find the angle θ (in radians) that is between a and…
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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…
A: It is given that :
Q: polar angle of point
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Q: A = +10.0u î + 28.0u k B = -22.0u î+ 15.0u j+32.0u k Find the cross product, A x B.
A: Given A=+10.0u i^+0.00u j^ + 28.0u k^B=-22.0u i^+15.0u j^ + 32.0u k^
Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…
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Q: Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A…
A: Consider the vectors are:
Q: Find the vector component of v=2i−j+3k along b=i+4j+8k and the vector component of v orthogonal to…
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Q: A vector and has a magnitude of 7 units, and has a magnitude of 5 units, and the cross product of…
A: The physical quantity which has both magnitude and direction is considered as vector, otherwise…
Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…
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Q: What are the polar coordinates of a vector whose component vectors are -6.50 m vertically and +9.60…
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Q: Find the magnitude of the vector v = 9 cos(90) i + 9 sin(90) j. (Give an exact answer. Use symbolic…
A: Given: Vector- v→=9 cos9θ i^+9 sin9θ j^ To find: Magnitude of the vector.
Q: the unit vector directed toward the origin from an arbitrary point on the line described by x=0 and…
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