maths plse help me..
posted by Anonymous .
how to find the cartesian eqn of plane passing through A(0,0,0) and B(3,1,2) and parellel to line (x4)/1 = (y+3)/4 = (z+1)/7
basically how to find a plane parallel to a given line??

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
Respond to this Question
Similar Questions

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 
Maths
In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x3y+6=0 Line b=parametric eqns:x=5+3& y=& (real n°) Circle z=cartesian eqn:x²+y²2x3=0 (a)Calculate the angle between lines a an b (b)Calculate … 
Mathematics
In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x3y+6=0 Line b=parametric eqns:x=5+3& y=& (real n°) Circle z=cartesian eqn:x²+y²2x3=0 (a)Calculate the angle between lines a an b (b)Calculate … 
maths  geometry
In a space with an orthonormal coordinate system consider the plane; &: 4x3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections? 
mathsurgently needed
find the vector and the cartesian equation of the line passing through (1,2,3) and parallel to the planes xy+2z=5 and 3x+y+z=6 
mathsurgently needed
find the vector and the cartesian equation of the line passing through (1,2,3) and parallel to the planes xy+2z=5 and 3x+y+z=6 
Algebra 1
1.To solve the linear system below, which substitution of unkowns is proper ? 
algebra 1,urgent
the expression (4x^23x+1)(x^3+2x+7) what is the coefficient of the x term in the simplified expression? 
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 slopeintercept form. 1. y= 2x 4; (1, 3) how do I write the equation of a line parallel to … 
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. Xy plane passing through z =5, yz plane passing through x = 2, zx …