Finding a Vector Equation for a Plane with Scalar Equation 2x-y+3z-24=0

  • Thread starter Thread starter thomasrules
  • Start date Start date
thomasrules
Messages
243
Reaction score
0
Find a vector equation for the plane with scalar equation

2x-y+3z-24=0

I have tried but I have no idea at all really how to do it...I have to do it using geometry just to let you know
 
Physics news on Phys.org
Solve for y: y= 2x+ 3z-24. Now use x and z as parameters: you can call them s and t if you like:

x= s, y= 2s+ 3t- 24, z= t

Then r(s, t)= si+ (2s+ 3t- 24)j+ tk.

Is that what you mean?
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Find all points where the level surface tangent plane is parallel
Replies
4
Views
5K
Finding a basis for a particular subspace with Dot Product restrictions
Replies
1
Views
1K
Finding the equation of a plane given 2 lines and a point
Replies
7
Views
2K
Solving for the Green's Function and Using It to Solve an Differential Equation
Replies
9
Views
2K
Unsolvable max/min of surface with constraint
Replies
9
Views
2K
Solving a system of linear equations
Replies
28
Views
3K
Find the equation of the tangent plane and normal to a surface
Replies
1
Views
1K
Find all points where surface normal is perpendicular to plane
Replies
4
Views
2K
Finding an equation of the tangent plane -- with steps
Replies
12
Views
2K
Divergence Theorem Verification: Surface Integral
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top