Question

(−120 k) x (Dxi + Dyj) + (120j −160k) x T i + (80k − 200i)...

(−120 k) x (Dxi + Dyj) + (120j −160k) x T i + (80k − 200i) x (−720j) = 0

I need help with simple 3d cross product problem. please explain in detail. thanks

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

thumb rules for cross product

i^ x j^ = k^

j^ x k^ = i^

k^x i^ = j^

-(a x b ) = b x a

(−120 k) x (Dxi + Dy j)

=   -120Dx j^ + 120Dy i^

(120j −160k) x T i

= -120T k^ - 160T j^

(80k − 200i) x (−720j)

= 57600 i^ + 144000k^

since RHS is zero so each component (that is coefficients of i^ , j^ , k^ has to be zero )

equating coefficient of i^ = 0

57600+120 Dy = 0

Dy = -57600/120 =-480

equating coefficient of j^ = 0

-160T - 120 Dx = 0

equating coefficient of k^ = 0

-120T + 144000 = 0

T = 1200

-160T - 120 Dx = 0

-160*1200 -120 Dx = 0

Dx = 1600

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
This is for Differential Equations. I was sick last week and missed class so I do...
This is for Differential Equations. I was sick last week and missed class so I do not understand the process behind solving this question. Problem 3 Consider the ODE t 2 y'' + 3 t y' + y = 0. • Factorize the left hand side of the ODE. Hint: One of the factors is (D + 2 t -1 I). • Find the fundamental set of solutions. • Solve the initial value problem t 2 y'' + 3 t...
Thomas Monroe is going to take out a withdrawal of $80,000 per year at t =...
Thomas Monroe is going to take out a withdrawal of $80,000 per year at t = 0 through t=5. Then he is going to make 50 annual unequal withdrawals from his savings with the first withdrawal occurring at t=6 and the last withdrawal occurring at t=55. He wants each withdrawal to have the same purchasing power as $150,000 has today so the withdrawals need to grow at a constant rate of 3% to compensate for expected inflation per year. His...
[20] Suppose that x(t) = t, when 0 ≤ t ≤ 2 and x(t)=4 - t,...
[20] Suppose that x(t) = t, when 0 ≤ t ≤ 2 and x(t)=4 - t, when 2 < t ≤ 4. Plot the signals x(t), x(-t), x(t/2), x(2 + 4t), and x(-2 - 4t). I NEED MATLAB CODE PLEASE NOT BZ HAND. code and plot in MATLAB
Determine whether  cos ⁡ ( k x ) e x p ( − i ω t )...
Determine whether  cos ⁡ ( k x ) e x p ( − i ω t ) is an acceptable solution to the time-dependent Schrödinger wave equation.
If x1(t) and x2(t) are solutions to the differential equation x"+bx'+cx = 0 1. Is x=...
If x1(t) and x2(t) are solutions to the differential equation x"+bx'+cx = 0 1. Is x= x1+x2+c for a constant c always a solution? (I think No, except for the case of c=0) 2. Is tx1 a solution? (t is a constant) I have to show all works of the whole process, please help me!
Please show EVERY step in integrating ((x-1)^2)*(e^-x)dx from 0 to infinity. In particular, when I consult...
Please show EVERY step in integrating ((x-1)^2)*(e^-x)dx from 0 to infinity. In particular, when I consult other solutions and Wolfram Alpha, none explain what happens to the second (the 'x') expanded term, with the 2 constant. I keep getting 0 as a final answer but the answer is somehow 1. I haven't done calculus in awhile so I'm probably just overlooking something simple. Thanks!
Solve the following initial/boundary value problem: ∂u(t,x)/∂t = ∂^2u(t,x)/∂x^2 for t>0, 0<x<π, u(t,0)=u(t,π)=0 for t>0, u(0,x)=sin^2x...
Solve the following initial/boundary value problem: ∂u(t,x)/∂t = ∂^2u(t,x)/∂x^2 for t>0, 0<x<π, u(t,0)=u(t,π)=0 for t>0, u(0,x)=sin^2x for 0≤x≤ π. if you like, you can use/cite the solution of Fourier sine series of sin^2(x) on [0,pi] = 1/4-(1/4)cos(2x) please show all steps and work clearly so I can follow your logic and learn to solve similar ones myself.
uxx = ut - u (0<x<1, t>0), boundary conditions: u(1,t)=cost, u(0,t)= 0 initial conditions: u(x,0)= x...
uxx = ut - u (0<x<1, t>0), boundary conditions: u(1,t)=cost, u(0,t)= 0 initial conditions: u(x,0)= x i) solve this problem by using the method of separation of variables. (Please, share the solution step by step) ii) graphically present two terms(binomial) solutions for u(x,1).
Given that the acceleration vector is a(t)=(-9 cos(3t))i+(-9 sin(3t))j+(-5t)k, the initial velocity is v(0)=i+k, and the...
Given that the acceleration vector is a(t)=(-9 cos(3t))i+(-9 sin(3t))j+(-5t)k, the initial velocity is v(0)=i+k, and the initial position vector is r(0)=i+j+k, compute: A. The velocity vector v(t) B. The position vector r(t)
Solve the following sets of recurrence relations and initial conditions: S(k)−2S(k−1)+S(k−2)=2, S(0)=25, S(1)=16 The answer is:...
Solve the following sets of recurrence relations and initial conditions: S(k)−2S(k−1)+S(k−2)=2, S(0)=25, S(1)=16 The answer is: S(k)=k^2−10k+25 Please help me understand the solution. I get how to get the homogenous solution, I would get Sh(k) = a + bk But I get stuck on the particular solution. Thanks
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT