If A = r sin cos ar cos 20 sina + tan- lnr a at P(2,л/2,3π/2). Determine 2 of A that is parallel to a₂ (express your answer in spherical the vector component coordinates)

Q: Evaluate the line integral 8xy ds, where C is the right half of the circle x? + y = 25.

A: Solution: The equation of the circle is given as: x2+y2=25,radius r = 25 x= 5cosθy=…

Q: Find A when r=3 and l=8 for A=\pi rl. Use \pi =3.14 and give your answer to three significant…

A: Given that r=3 and l=8 for A=.

Q: (c) The angle that F2 makes with the positive x axis is found from tan0 = F2u/F2z = 21/32 0.656.…

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Q: F1 = 400 N and F2 = 600 N, determine the angle 0 between a magnitude of FR = 800 N. F2

A: Given that,Force : F1 = 400 (N)Force : F2 = 600 (N)Force : FR = 800 (N)Here we need to find the…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: Two points in the xy plane have Cartesian coordinates (2.00,- 3.00) m and (- 4.00, 3.00) m.…

A: Given:-  The two-point  on the xy plane as  A= 2,-3 m B=-4, 3 m Find:-  a) The distance between the…

Q: Evaluate the integral: 1 dr 2x2 – 3x – 2

A: Expressing the integrand as sum of…

Q: Example 2; find O between A¯and B'? A¯=2î +3j +k , B =3î -2j +K

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the general solution for the following differential equation: y' +9y = -3/ General Solution:…

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Q: a) V × (VV) = 0 x b) V. (V x A) = 0

A: Given given scalar quantity V and vector quantity A.

Q: Q2: Show that (A, Ay, A) are related to (Ap, A,Az) using the following matrix: cos o -sin o 0 Ao A…

A: Ques: SHOW THAT

Q: Problem 1: A block having a mass of m= 14 kg is suspended via two cables as shown in the figure. The…

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Q: Cartesian to Spherical Given a point P = (-2,6, 3) and a vector A = ya, + (x + 2)a, are in Cartesian…

A: Given: A point P=(x,y,z)=(-2,6,3) A vector A⇀=yax^+(x+z)ay^ Calculation: (a) In spherical polar…

Q: Vector Field C= «ty)ax+ xay +Cy+2J az D= (2ty)axt Yay o (X+) Oz A+B = ?

A: We sum the two vector component-wise and then get the resultant vector

Q: Considering the following points in rectangular coordinates: P; (0,0,2) and P2(0, v2, v2), determine…

A: The given function F is in spherical coordinates, and the line integral of the given function is…

Q: . Given the relationship between Cartesian and cylindrical coordinates (p, p, z), x = p cos y y = p…

A: Given, x=ρcosφy=ρsinφz=z So, ρ=x2+y2φ=tan-1yxz=z Then,…

Q: 1. Let F be a vector in Cartesian coordinate system (x, y, z). Determine the divergence of a curl of…

A: 1

Q: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. x² + (y + 5}² =…

A: x2 + (y + 5)2 = 25 To find = polar equaiton

Q: Which of the following statements is true Select one: O " "Sx, y)dxdy gives the area of the graph of…

A: Third option is true f(x, y, z) = f(y, x, z)

Q: -2n de The value of the integral I = o 2+cos 0 2n V3 V3

A: Solution:   Given Integral equation is as follows:   I=∫02πdθ2+cosθ   We know that,…

Q: Express the position vector 7, velocity v, and acceleration ã in terms of the spherical coordinates…

A: Hey dear I have uploaded the solution in step 2 and 3

Q: If ay can be written as ua +va + wa at the point P(2.94, 309.46 degrees, -2.75), find u+v+w. P Ф Z

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Q: 2)Find the angle between ( Ä – ) and À , for A = 41 + j+ 2k and B= 2i +3j+k.

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Q: Ql: Show that: sin 8 cos o A, A sin ở sin o -cos 0 cos o cos 8 sin o -sin e cos o cos 0|| A, - sin o…

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Q: 19. In an orthorhombic cell, the primitive vectors are 1.27Å, 2.14Å and 1.51A. Deduce the intercepts…

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Q: Consider the differential volume element Y10Q1 [r,r+ dr] [0,0+ d0] [o,6+ do] shown in the Cartesian…

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Q: Two points in a plane have polar coordinates (2.5m, 30°) and (3.80m,120°).Determine a) the catesiam…

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Q: Let A = (2i + 6j)m and B= (-i+ 2j)m . Find the magnitude of 2A – 3B O 8.22 O 6.22

A: A=(2i+6j) m B=(-i+2j) m

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: d. Evaluate the second time derivative of the unit vectors êp. e. Given that i = rê, + rể,, show…

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Q: Suppose the vectors i, j,pand q are all unit vectors and the angle 0 = 131°. Find the cartesian…

A: Required : The force in p and q coordinates.

Q: 3-lON, 40° EAST OF NORTH USING LAW OF E. You CAN VERIFY YOUR ANSWER USINE ONENT METHOD.

A: Resultant of two vectors can be determined by parallelogram law. here, A=2.5 N, 160  to north of…

Q: The functions ¢1(x) and ø2(x) are normalized: dx 67(x) $1 (x) = 1 de φ (1) φ (π) = 1 and are…

A: The normalization of ψ-(x) is given by: Hence, the function is not normalized. The normalization A-…

Q: ind the angle tefuaeen the vectors A- ai 1 2a 5 = ai t aai 1 Bak CATE ese f o Utore derine a Ace…

A: Given vectors  A→=ai^+2j^B→=ai^+2j^ +3k^ The angle between these two vectors ,

Q: Cos p 5. Vector function E î exist in a region of two spherical shells define by r = r2 2 and r =…

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Q: 1. Let F be a vector in Cartesian coordinate system (x, y, z). Determine the divergence of a curl of…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In the figure shown. Compute the following: (1) A. and A, (2) B. and By 600 N 900 N (3) Using…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…