Saturday

April 18, 2015

April 18, 2015

Posted by **Tom** on Saturday, June 16, 2012 at 9:09pm.

- Calculus -
**Reiny**, Saturday, June 16, 2012 at 11:38pmWe know one direction vector of the plane is (-2,3,1)

We have to find another.

Use the two points (3,5,1) and (1,2,3)

the vector would be (2,3,-2)

I will assume you know how to find the cross-product between these two vectors.

I got (9,2,12)

So the plane has equation

9x + 2y + 12z = c

plug in (1,2,3)

9 + 4 + 36 = c = 49

scalar equation is

9x + 2y + 12z = 49

vector equation is

r = (3,5,1) + t(-2,3,1) + s(2,3,-2)

**Answer this Question**

**Related Questions**

Math: Equations of Lines - Determine the parametric equations of each of the ...

Math- Intesection of a plane and line - Does the line [x,y,z]=[5,-9,3]+k[1,-12,2...

Precalc - Given the plane 3x+2y+5z=54 and the points P0(6, 8, 4)[on plane] and ...

Math - Equations of plane(check) - Consider the plane that contains points A(2,...

Math - Equations of plane(check) - Consider the plane that contains points A(2,3...

Discrete Math: Equations of Line in a Plane - I'm stuck on these questions. Can ...

Math: Equations of Line in a Plane - I'm stuck on these questions. Can you ...

Math - Equations of planes - Write a vector equation and scalar equation of the ...

Precalc - At the point were a line intersects a plane [with the equation (24x+...

Math:Calculus - Determine vector and parametric equations for the plane ...