Please can you help me solve this question 3. (Maths) A force is defined by the vector fieldF=zyi+yj+zk N(a) Evaluate the work done by this force when moving a mass anti-clockwise aroundthe closed triangular path in the x, y plane shown below.(b) Explain whether this is a conservative force.(c) Evaluate the surface integral of this vector field through the triangle (in the direction of positive 2).y(0,2)(0,0)(2,0)X

Given that : The vector field : Explanation: Given vector field is written here. Part(a): Step 1:…

Answered: 3. (Maths) A force is defined by the…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 11ECP

See similar textbooks

Similar questions

1) Sketch the vector field F. (i) F(r ,y) = (ii) F(r, y, 2) -i 7. 3Di
A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v=(x-y,z+y+7,z2) and the net is decribed by the equation y=1-x2-z2, y20, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)
A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v = (x - y, z + y + 6, z? ) and the net is decribed by the equation y = 1 – x - z', y 2 0, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.) · dS = Incorrect
Cal 3
Sketch and describe the vector field F (x, y) = (-y,2x)
Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then B(r) = {Bk if R r where r = √x² + y² is the distance to the z-axis and B is a constant that depends on the current strength I and the spacing of the turns of wire. The vector potential for B is A(r) = { }B (-3,2,0) B(-y.x,0) 8 (a) Use Stokes' Theorem to compute the flux of B through a circle in the xy-plane of radius r = 6 R if r < R A dr = (b) Use Stokes' Theorem to compute the circulation of A around the boundary C of a surface lying outside the solenoid. (Use symbolic notation and fractions where needed.) C 2 Br 0
Calculate the flux of the given vector field across the surface S..
how do i solve the attached calculus problem?
Match the vector fields: ? curl(F)=0 ? curl(F)=2 V 2. div(F)=0, ? curl(F)=0 ? V 3. div(F)=-1, 1. div(F)=4, ? curl(F)=1 V 4. div(F)=-2, V 5. div(F)=-2, curl(F)=-1 ? curl(F)=3 6. div(F)=2, A D B E C F
How do I do d) and e)? For d) I took the derivative of the vector r but I got a really weird solution which seems impossible

Recommended textbooks for you

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS