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- Parametric form of a plane - Mathematics Stack Exchange
Can you please explain to me how to get from a nonparametric equation of a plane like this: $$ x_1−2x_2+3x_3=6$$ to a parametric one In this case the result is supposed to be $$ x_1 = 6-6t-6s$
- linear algebra - Vector and Parametric equations of Planes . . .
EXAMPLE 2: Vector and Parametric Equations of a Plane in R3 Find vector and parametric equations of the plane x − y + 2z = 5 Solution: We will find the parametric equations first We can do this by solving the equation for any one of the variables in terms of the other two and then using those two variables as parameters
- Finding parametric and non parametric equations of a plane?
Finding parametric and non parametric equations of a plane? Ask Question Asked 12 years, 2 months ago Modified 11 years, 1 month ago
- calculus - Finding the parametric equations for tangent line to an . . .
The ellipsoid $4x^2+2y^2+z^2=16$ intersects the plane $y=2$ in an ellipse Find parametric equations for the tangent line to this ellipse at the point $ (1,2,2)$
- Parametric Equation of a Circle in 3D Space?
The plane is not any one of the coordinate planes (and in those cases, you wouldn't need to go through this route) What you can use to derive the parametric equations for your circle is the Rodrigues rotation formula, which is a rotation matrix used for rotating by an angle $\varphi$ about an arbitrary axis $\mathbf {\hat n}=\langle n_x\;n_y
- Finding an equation and parametric description given 3 points
A parametric description is a formula for the plane Your parametric description seems to be wrong, since the point $ (0,0,1)$ that it yields isn't on the plane
- Find vector and parametric equation of plane in $\\Bbb R^{3}$ that . . .
Find vector and parametric equation of plane in $\Bbb R^ {3}$ that passes through origin and is orthogonal to vector v Ask Question Asked 11 years, 5 months ago Modified 5 years, 9 months ago
- How to convert a plane (e. g. $4x - 3y + 6z = 12$) into parametric . . .
Then one parametric form is $ (\frac {12+3s-6t} {4},s,t)$ In the general case of a set of linear equations, it helps thinking of the equations that need parametrization as a system with more variables than equations The key is to find how many secondary variables are there, and take them as parameters
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