Calculus
posted by J .
Where does the line [x, y, z] = [6, 10, 1] + t[3, 4, 1] meet the xyplane?

The xy plane is where z=0.
So solve the equation of the line where z=0, i.e.
z=1+t[1]=0
=>
t=1
Substitute t=1 into
[x, y, z] = [6, 10, 1] + t[3, 4, 1]
gives
[x,y,z]=[6,10,1]+1[3,4,1]=[9,14,0] 
So the final answer for this one would be
[x,y,z]=[6,10,1]+1[3,4,1]=[9,14,0] ?
Thank you! 
Right.
You're welcome!
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 
Calc
Find the point in which the line x=1t, y=3t, z=1+t; meet the plane 2xy+3z=6 
Calculus
Verify please and thank you~ Does the line (x7)/3=(y+8)/6=(z+4)/5 and the point P(10,2,1) determine a plane? 
Calculus and vectors
Verify please and thank you~ 1. Does the line (x7)/3=(y+8)/6=(z+4)/5 and the point P(10,2,1) determine a plane? 
Geometry
4.Determine which point does not lie on the graph of the line y=x3 a. (10, 13) b. (1013) c. (8, 11) A? 
Calculus grade 12
7. Where does the line r = (1, 2, 5) + t (2, 3, 1) meet the plane 2x + 5y  3z = 6? 
Calculus
7. Where does the line r = (1, 2, 5) + t (2, 3, 1) meet the plane 2x + 5y  3z = 6? 
physics
Two planes are initially separated by a horizontal distance of 350 km. Plane A is positioned 350 km west of the Plane B. Plane A is initially traveling at a velocity of 60 m/s east. Plane B is traveling at a velocity of 45 m/s west. … 
Calculus
Consider the line through the points (3,2,5) and (1,1,1). Consider the plane A that is perpendicular to this line, and passing through the point (1,0,2). Consider the plane B that passes through the points (1,1,0), (0,2,0), and (0,5,2). … 
Calculus
a) Find parametric equations for the line through (4, 1, 4) that is perpendicular to the plane x − y + 2z = 7. (Use the parameter t.) b) In what points does this line intersect the coordinate planes?