Question

3) Find minimum distance from P=(0,0,0) to the plane x+y+z=6 in two ways: (i) Using critical...

3) Find minimum distance from P=(0,0,0) to the plane x+y+z=6 in two ways:

(i) Using critical points.
(ii) Using vector projections.

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 the minimum distance from the point (1,-6,3) to the plane x − y + z...
Find the minimum distance from the point (1,-6,3) to the plane x − y + z = 7. (Hint: To simplify the computations, minimize the square of the distance.)
Question 6. Find the distance from point P(1,−2,3) to the plane of equation (x−3) + 2(y...
Question 6. Find the distance from point P(1,−2,3) to the plane of equation (x−3) + 2(y + 1)−4z = 0. Question 8. Consider the function f(x,y) = x|x|+|y|, show that fx(0,0) exists but fy(0,0) does not exist.
Sketch the plane 8 x + 4 y + 6 z = 24. Find the perpendicular...
Sketch the plane 8 x + 4 y + 6 z = 24. Find the perpendicular distance of the plane 8 x + 4 y = 24 from origin O by first finding coordinates of the point P on the plane such that OP is perpendicular to the given plane.
Find the perpendicular distance of the plane 5 x + 2 y – z = –22...
Find the perpendicular distance of the plane 5 x + 2 y – z = –22 from origin O by first finding the co-ordinates of the point P on the plane such that OP is perpendicular to the given plane.
Find the distance from the point (1, 2, 3) to the (a) XY plane         (b) Y...
Find the distance from the point (1, 2, 3) to the (a) XY plane         (b) Y axis Find a unit vector that is perpendicular to both i + j   and   i - k   Find the equation of the plane that contains the point   (1, 2, -1) with normal vector i – j.
Consider the vector field F(x,y,z)=〈−3y,−3x,−4z〉. Find a potential function f(x,y,z) for F which satisfies f(0,0,0)=0.
Consider the vector field F(x,y,z)=〈−3y,−3x,−4z〉. Find a potential function f(x,y,z) for F which satisfies f(0,0,0)=0.
Find the distance from the point P(3,5,6) to the line (x-1)/2 = (y+1)/3 = (z-1)/3
Find the distance from the point P(3,5,6) to the line (x-1)/2 = (y+1)/3 = (z-1)/3
Find the extreme values of f(x,y,z)=x2yz+1 on the intersection of the plane z=6 with the sphere...
Find the extreme values of f(x,y,z)=x2yz+1 on the intersection of the plane z=6 with the sphere x2+y2+z2=57. The minimum of f(x,y,z) on the domain is (?)
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?
The paraboloid z = 3x2 + 2y2 + 1 and the plane 2x – y +...
The paraboloid z = 3x2 + 2y2 + 1 and the plane 2x – y + z = 4 intersect in a curve C. Find the points on C that have a maximum and minimum distance from the origin. The point on C is the maximum distance from the origin is (___ , ____ , ____).    The point on C is the minimum distance from the origin is (____ , ____ , ____). So for this question I get...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT