Question

Consider the plane with general equation x - 2y - 3z = 6. Which one of...

Consider the plane with general equation x - 2y - 3z = 6. Which one of the following equation for a line that does not intersect this plane?

a. (x, y, z) = (1, -2, -3) + t(1, -1, 1), t ∈ R

b. (x, y, z) = (1, -2, -3) + t(1, -2, -3), t ∈ R

c. (x ,y, z) = (1, 2, -3) + t(1, -1, 1), t ∈ R

d. (x, y, z) = (1, 2, -3) + t(1, -2, -3), t ∈ R

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find parametric equations for the line through (1, 1, 6) that is perpendicular to the plane...
Find parametric equations for the line through (1, 1, 6) that is perpendicular to the plane x − y + 3z = 8. (Use the parameter t.) (x(t), y(t), z(t)) = 1+t, 1-t, 6+3t Correct: Your answer is correct. (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y, z) =
Use Lagrange multipliers to find the point on the plane   x − 2y + 3z =...
Use Lagrange multipliers to find the point on the plane   x − 2y + 3z = 6 that is closest to the point (0, 2, 5). (x, y, z) =
Consider the following linear system: x + 2y + 3z = 6 2x - 3y +...
Consider the following linear system: x + 2y + 3z = 6 2x - 3y + 2z = 14 3x + y - z = -2 Use Gaussian Elimination with Partial Pivoting to solve a solution in an approximated sense.
(a) Find parametric equations for the line through (2, 2, 6) that is perpendicular to the...
(a) Find parametric equations for the line through (2, 2, 6) that is perpendicular to the plane x − y + 3z = 7. (Use the parameter t.) (x(t), y(t), z(t)) =    (b) In what points does this line intersect the coordinate planes? xy-plane     (x, y, z) =    yz-plane     (x, y, z) =    xz-plane     (x, y, z) =   
consider the plane x+2y+z=2 and the point P= (2,0,4) a.) set up an equation to measure...
consider the plane x+2y+z=2 and the point P= (2,0,4) a.) set up an equation to measure the distance d from P on an arbitrary point (x,y,z) on the plane b.) Find the point on the plane that is closest to P. hint it may be easier to minimize d^2 (instead of d) c.) What is the shortest distance between point P and the plane
Find an equation of the plane. The plane that passes through the line of intersection of...
Find an equation of the plane. The plane that passes through the line of intersection of the planes x − z = 2 and y + 3z = 1 and is perpendicular to the plane x + y − 3z = 3
Consider the plane x + 2y + z = 2 and the point P = (2,0,4)...
Consider the plane x + 2y + z = 2 and the point P = (2,0,4) A) Set up an equation to measure the distance d from P to an arbitrary point (x,y,z) on the plane B) Find the pointe on the plane that is closest to P C) What is the shortest distance between point P and the plane?
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and...
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and S(x, y, z) = (2y − z, x − z, y + 3x). Use matrices to find the composition S ◦ T. 2. Find an equation of the tangent plane to the graph of x 2 − y 2 − 3z 2 = 5 at (6, 2, 3). 3. Find the critical points of f(x, y) = (x 2 + y 2 )e −y...
Calculate the volume bounded by the plane x + 2y + 3z = 6 by coordinate...
Calculate the volume bounded by the plane x + 2y + 3z = 6 by coordinate planes with a triple integral.
Let P be the plane given by the equation 2x + y − 3z = 2....
Let P be the plane given by the equation 2x + y − 3z = 2. The point Q(1, 2, 3) is not on the plane P, the point R is on the plane P, and the line L1 through Q and R is orthogonal to the plane P. Let W be another point (1, 1, 3). Find parametric equations of the line L2 that passes through points W and R.