Question: Show that the vector fields A = sin a + cos a + a z B = sin a

Show that the vector fields

A = ρ sin Φaρ + ρ  cos ΦaΦ + ρaz
B = ρ sin Φaρ + ρ  cosΦaΦ – ρaz
are perpendicular to each other at any point.

Step by Step Solution

★★★★★

3.40 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

As expected If A and ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Elements Of Electromagnetics Questions!

Q:

The efficient bargaini the union bargain ON of this bargaining pros

Q:

Show that the vector n = al t bj is perpendicular to the line with equation ax + by = c. Let P1(x1, y1) and P2(x2, y2) be two points on the line and show that n = 0.

Q:

Show that the vector labeled incorrect in Fig. 3-6c is actually the difference of the two vectors. Is it V2 V1l or V1 V2?

Q:

Show that the vector ortha b = b - proj a b is orthogonal to a. (It is called an orthogonal projection of b.)

Q:

12.4.1 Given the position vector of the particle moving along the circle 24:2 + 3'2 = 1, find the particle's velocity and acceleration vectors at the stated times. so) = (sin c): + (cos 0]; t z E and...

Q:

Q10 show your work and use good handwriting Plot the complex number on the complex plane and write it in polar form and in exponential form. A Imaginary axis 6 + 6i Plot the complex number on the...

Q:

Reconsider the previous problem for the following fields. (a) D = y'za, + 2(x + 1)yza, - (x + 1) a. sin o cos o a, (z + 1) (b) E = (2 cos 0 a, + sin a,) (e) F =

Q:

2. (a) In computer graphics and robot kinematics the positions of objects are described using homogeneous coordinates rather than Cartesian coordinates. In general, the Cartesian vector r= (y has a...

Q:

This is all the information we are given to work out the problem. this is what I have worked out so far: - COS B = = 2 COS ( A - B ) . CoS A T sin CA- B) .sinA " Now) COS B = COS CA-B ) . COS A + sin...

Q:

1. Find the vector equation of a line in IR that passes through the points P(3, 6, 0) and Q(-2, 3, 1). O l(t) = (-5t, -3t, t) O l(t) = (-2 + 3t, 3 + 6t, 1) O e(t) = (-2+5t, 3 +3t, 1 -t) O e(t) =...

Q:

Exercise 1: Read both the introduction to the section and Example 1 (p. 969 - 971). Explain what the differential ds is substituted with in the computation of the line integral here. The subsection...

Q:

On November 1, Barnes Corporation has 8,000 units of Product A on hand. During the month, the company plans to sell 30,000 units of Product A, and plans to have 6,500 units on hand at end of the...

Q:

DDD Corporation has agreed to exchange $50,000 and some raw land for a building owned by Jason Briggs. DDD Corporation's land has a value of $600,000, a basis of $200,000 and is encumbered by a...

Q:

How do the mall operators adapt to the challenges of online retailing or discount stores?

Q:

Refer to Problem 15-45. a. Develop the correlation matrix that includes all independent variables and the dependent variable. Predict the order that the variables will be selected into the model if...

Q:

Using series/parallel resistance combination, find the equivalent resistance seen by the source in the circuit of Fig. 2.98. Find the overall dissipated power? Figure 2.98 For Prob. 2.34. 20 8 10 12...

Q:

Calculate V0 and I0 in the circuit of Fig. 2.99?

Q:

Find i and Vo in the circuit of Fig. 2.100. Figure 2.100 For Prob. 2.36. 10 24 50 25 15 V 60 20

Q:

Question #7 XYZ Company, a 'for-profit business, had revenues of S15 million in 2018. Expenses other than depreciation totaled 75 percent of revenues, and depreciation expense was $1.3 million. XYZ...

Q:

Cox Electric mukes electronic components and has estimated the following for a new design of one of its products. - Fixed cost =$18,525 - Material cont per unit =$0.16 - Labor cost per unit =$0.11 -...

Q:

1 pts Veridian Dynamics is considering the purchase of a new cloning machine, which will cost $80 million plus an additional 58 million to ship and install. The new machine will replace the existing...