Question

Consider the point P(1, −1, 0) and the line l : (2, 5, −1) + t(−1,...

Consider the point P(1, −1, 0) and the line l : (2, 5, −1) + t(−1, −2, 1).

(a) Check that P is not on l.

(b) Find the point on l that is closest to P.

Homework Answers

Answer #1

answer:-

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
Consider the line L with parametric equations x = 5t − 2, y = −t +...
Consider the line L with parametric equations x = 5t − 2, y = −t + 4, z= 2t + 5. Consider the plane P given by the equation x+3y−z=6. (a) Explain why the line L is parallel to P b) Find the distance from L to P .
A. Line l passes through point (−4,47) and line p is the graph of y+1=−5(x+5). If...
A. Line l passes through point (−4,47) and line p is the graph of y+1=−5(x+5). If l is parallel to p what is the equation of l? B.  Line l passes through point (4,4) and line p is the graph of 2x−3y=10. If l⊥p, what is the equation of l?
Find an equation for the line L that contains the point the point P = (−1,...
Find an equation for the line L that contains the point the point P = (−1, 3, 1) and is orthogonal to the line x − 2 /−1 = y − 1/ −2 = z − 5 /1 = λ, λ ∈ R
Find the point on the line 4x+7y-3=0 closest to the point (-2,-5)
Find the point on the line 4x+7y-3=0 closest to the point (-2,-5)
1.Find an equation for the plane that is perpendicular to the line l(t) = (8, 0,...
1.Find an equation for the plane that is perpendicular to the line l(t) = (8, 0, 4)t + (5, −1, 1) and passes through (6, −1, 0). 2.Find an equation for the plane that is perpendicular to the line l(t) = (−3, −6, 9)t + (0, 7, 1)and passes through (2, 2, −1).
Find the point on the line −3x+4y−1=0 which is closest to the point (2,−1).
Find the point on the line −3x+4y−1=0 which is closest to the point (2,−1).
Find the point of intersection of the line x(t) = (0, 1, 3) + (–2, –...
Find the point of intersection of the line x(t) = (0, 1, 3) + (–2, – 1, 2)t with the plane 4x + 5y – 4z = 9. And Find the distance from the point (2, 3, 1) to the plane 3x – 2y + z = 9
(a) Find the equation of the plane p containing the point P(1,3,2)and normal to the line...
(a) Find the equation of the plane p containing the point P(1,3,2)and normal to the line l which has parametric form x=2,y=t+1,z=2 t+4. Put x, y and z on the left hand side and the constant on the right-hand side. (b) Find the value of t where the line l intersects the plane p. (c) Enter the coordinates of the point where the line l intersects the plane p.
Consider plane P: 4x -y + 2z = 8, line: <x, y, z> = <1+t, -1+2t,...
Consider plane P: 4x -y + 2z = 8, line: <x, y, z> = <1+t, -1+2t, 3t>, and point Q(2,-1,3) b) Find the perpendicular distance between point Q and plane P
1. a) Find the point on the line 3x+4y+2=0 which is closest to the point (4,4)....
1. a) Find the point on the line 3x+4y+2=0 which is closest to the point (4,4). b) A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 40 feet? c) A power line is to be run to an offshore facility as shown in the figure above. The offshore...