# maths --plse help me..

posted by .

how to find the cartesian eqn of plane passing through A(0,0,0) and B(3,-1,2) and parellel to line (x-4)/1 = (y+3)/-4 = (z+1)/7
basically how to find a plane parallel to a given line??

• maths --plse help me.. -

We need two direction vectors in the plane, one is vector AB or (3, -1, 2)
the other is the direction of the line parallel to the plane which is ((1, -4, 7)

a normal to the plane would be the cross - product of the two vectors above

Assuming you know how to find that normal, I got
(1 , -19, -11)

So the plane has equation,
x - 19y - 11z = c
but (0,0,0) lies on it,

so

x - 19y -11z = 0

## Similar Questions

1. ### math( geometry)

indirect proof given: plane M and N intersect; line CD is parallel to plane M; line CD is parallel to plane N; line CD and line AB are not skew prove: line CD is parallel to line AB
2. ### Maths

In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate …
3. ### Mathematics

In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate …
4. ### maths - geometry

In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections?
5. ### maths-urgently needed

find the vector and the cartesian equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6
6. ### maths-urgently needed

find the vector and the cartesian equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6
7. ### Algebra 1

1.To solve the linear system below, which substitution of unkowns is proper ?
8. ### algebra 1,urgent

the expression (4x^2-3x+1)-(x^3+2x+7) what is the coefficient of the x term in the simplified expression?
9. ### Pre- Algebra

Given an equation of a line, how do I find equations for lines parallel to it going through specified points Simplifying the equations into slope-intercept form. 1. y= -2x -4; (1, 3) how do I write the equation of a line parallel to …
10. ### maths

Draw a right -handed rectangular reference frame with axes ranges x = -5 to +5, y = -5 to +10 , z = -5 to +5. Sketch the following planes on your reference frame. X-y plane passing through z =5, y-z plane passing through x = -2, z-x …

More Similar Questions