posted by .

7. Where does the line r = (1, 2, -5) + t (2, -3, 1) meet the plane 2x + 5y - 3z = 6?

7. Where does the line r = (1, 2, -5) + t (2, -3, 1) meet the plane 2x + 5y - 3z = 6?

Let the intersection point be P on L such that
P(1+2t, 2-3t, -5+t)

Substitute the values of x,y and z of P into the equation of the plane and solve for t.

love math ice take

## Similar Questions

1. ### Geometry

4.Determine which point does not lie on the graph of the line y=x-3 a. (-10, 13) b. (-10-13) c. (-8, -11) A?
2. ### Calculus

Where does the line [x, y, z] = [6, 10, 1] + t[3, 4, -1] meet the xy-plane?
3. ### Calculus Grade 12 University

8. Find the vector equation of the line in which the 2 planes 2x - 5y + 3z = 12 and 3x + 4y - 3z = 6 meet.
4. ### Calculus

7. Where does the line r = (1, 2, -5) + t (2, -3, 1) meet the plane 2x + 5y - 3z = 6?

Find the equation of the plane that passes through the point (3,7,-1) and is perpendicular to the line of intersection of the planes x-y-2z+3=0 and 3x-2y+z+5=0
6. ### Calculus grade 12 lines and planes

Find the value of k so that the line [x,y,z] = [2,-2,0]+ t[2,k,-3] is parallel to the plane kx +2y - 4z= 12