Sunday

March 1, 2015

March 1, 2015

Posted by **Phil** on Thursday, February 17, 2011 at 3:12pm.

- Calculus -
**Reiny**, Thursday, February 17, 2011 at 5:34pmThe direction vector of the given line is (2,-1,3) and a point on it is (0,3,1)

So using that point and the additional given point (1,2,-2)

yields a second direction vector of (1,-1,-3)

So we need a normal to these two direction vectors, which is the cross-product of (2,-1,3) and (1,-1,-3)

I got this normal to be (6,9,-1)

(I will assume you know how to find the cross-product)

The equation of the plane is

6x + 9y - z = k

subbing in the given point (1,2,-2)

6 + 18 + 2 = k = 26

equation of plane : 6x + 9y - z = 26

**Answer this Question**

**Related Questions**

Calculus - Find an equation of the plane. The plane that passes through (8, 0...

Calculus - Find an equation of the plane. The plane that passes through the ...

Calculus 3 - Find the equation of the plane that passes through (1,0,0) and is ...

vector calculus - find an equation for the plane that contains the line x = 2t-8...

calculus - find an equation for the line with the given properties. express the ...

calculus - find a vector equation of the line, which passes through the point (...

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...

Calculus Grade 12 - Find the equation of the plane that passes through the point...

calculus - Find an equation of the plane orthogonal to the line (x,y,z)=(-4,-9,9...