Calculus

Find the distance from the point to the given plane.
(1,−5,9), 3x+2y+6z=5

  1. 👍 0
  2. 👎 0
  3. 👁 108
asked by miolo
  1. vector normal to plane has direction
    3 i + 2 j + 6 k

    line normal to plane through point is
    (1, -5 , 9) + (3, 2, 6) t

    where does that hit the plane?
    3(1+3t) + 2(-5+2t) + 6(9+6t) = 5

    solve for t
    go back and use that t to get x, y, z in plane
    x = 1+3t y = -5+2t z = 9+6t
    then
    d^2 = (X2-X1)^2 + (Y2-Y1)^2+(Z2-Z1)^2

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Linear Algebra

    In 3-space, a plane abc is spanned by three points a, b, c. The point x does not lie on this plane. I'm trying to find the formulas used to find the point p on abc with minimal distance to x. I know the point p must be

    asked by Nikki on March 1, 2009
  2. physics

    A toy plane p starts flying from point A along a straight horizontal line 20 m above ground level starting with zero initial velocity and acceleration 2 m /s² as shown. At the same instant, a man P throws a ball vertically

    asked by karan on July 15, 2014
  3. Math

    The angles of elevation θ and ϕ to an airplane are being continuously monitored at two observation points A and B, respectively, which are 5 miles apart, and the airplane is east of both points in the same vertical plane.

    asked by anonymous on March 17, 2019
  4. Pre Calc

    A plane (A) heading south at 120 mph and a plane (B) heading west at 600 mph are rlying tword the same point at the same altitude. Plane A is 100 miles from the point where the flight patterns intersect and plane B is 550 miles

    asked by Rebekah on May 7, 2013
  5. trig

    A plane is flying at an elevation of 30000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 18. Find the distance between the plane and the airport. Find the distance

    asked by tim on March 10, 2010
  6. (Pre-Algebra) A

    Lesson 7: Coordinate Plane Essential Algebra Readiness(Pre-Algebra) A Unit 4: Real Numbers and the Coordinate Plane Has anyone done the Coordinate Plane Practice AND assessment? 1. Which point is located at (-3, -2)? (1 point)

    asked by Ash on October 28, 2018
  7. Math

    A plane leaves an airport A (38.5N, 37.05W) and flies dues North to a point B on latitude 52N (a) Find the distance covered by the plane (b) The plane then flies due east to a point C, 2400km from B. Determine the position of C

    asked by Kid on April 15, 2018
  8. maths - geometry

    In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections???) (ii)Find the parametric

    asked by Anonymous on April 28, 2010
  9. geometry

    A point is moving in a plane in such a way that its distance from the point(3,0)is 1.5 times its distance from the straight line 3x-4=0.find the louces of the point and identify the conic.

    asked by Anonymous on February 3, 2013
  10. Physics - Kinematics

    Qn: Ball 1 is launched up an inclined plane from the bottom of the plane with an initial speed that is the minimum speed for it just to reach the top of the plane. At the same moment as ball 1 is launched up the plane, Ball 2 is

    asked by Rod on November 25, 2010
  11. ????Math Question????8th grade adv.math

    Algebra! How is the distance formula and the pythagorean theroem similar? The distance formula follows from the pythagorean theorem. You have to apply it twice: If (x1, y1, z1) are the coordinates of a point 1 and (x2, y2, z2) are

    asked by Alex on February 7, 2007

More Similar Questions