# linear algebra

Find the scalar equation for the plane passing through the point P=(0, 2, −1) and containing the line L defined by

x = 2+t
y = 4+t
z = −6+7t

1. 0
2. 0
3. 12
1. Since t is a variable, you can obtain three different points on the plane:

a) (0,2,-1) Given in the question
b) (2,4,-6) by setting t=0
c) (3,5,1) by setting t=1

If you know three points in a plane, you can use them to find a unique equation for the plane. Try it out

1. 0
2. 0
posted by Arora

## Similar Questions

1. ### Algebra

Find the scalar equation for the plane passing through the points P1=(−3, −5, 5), P2=(1, −6, 6), and P3=(0, −9, 4).

asked by shana on March 19, 2017
2. ### Math- Intesection of a plane and line

Does the line [x,y,z]=[5,-9,3]+k[1,-12,2] intersect the plane [x,y,z]=[4,-15,8]+s[1,-3,1]+t[2,3,1]? If so, how many solutions are there? ( I tried finding the normal vector, there after finding the "d" value to write in scalar

asked by Shaila on August 28, 2010
3. ### math

Find a scalar equation of the plane that contains the given point P=(-3,-3,1)and the given normal vector n = (-1,4,7.

asked by Tech Nine on September 25, 2014
4. ### Math

Find a scalar equation of the plane that contains the given point P=(-3,-3,1)and the given normal vector n = (-1,4,7)

asked by Aegon on September 25, 2014
5. ### math

Find a scalar equation of the plane that contains the given point P=(-3,-3,1)and the given normal vector n = (-1,4,7)

asked by Jon on September 25, 2014
6. ### Math

Find a scalar equation of the plane that contains the given point P=(-3,-3,1)and the given normal vector n = (-1,4,7)

asked by Wiz on September 24, 2014
7. ### Algebra

Find a scalar equation of the plane that contains the given point P=(-3,-3,1)and the given normal vector n = (-1,4,7)

asked by Paul on September 24, 2014
8. ### Math

Find a scalar equation of the plane that contains the given point P=(-3,-3,1)and the given normal vector n = (-1,4,7)

asked by Tech N9ne on September 25, 2014
9. ### Linear Algebra

Find a scalar equation of the plane that contains the given point P=(-3,-3,1)and the given normal vector n = (-1,4,7)

asked by Aegon on September 25, 2014
10. ### Maths - Properties of Planes

write a scalar equation, given it's vector equation. [x,y,z]= [3,7,-5] + s[1,2,-1] + t[5,-2,3] ( I remember my teacher saying that you have to cross s and t, and that will be my normal and thereafter I substitue the point to find

asked by Shaila on August 24, 2010

More Similar Questions