kayarnold8786 kayarnold8786
  • 09-02-2018
  • Mathematics
contestada

Find an equation of the plane through the point (−1,−5,−2)(−1,−5,−2) with normal vector n=⟨−5,−4,−1⟩n=⟨−5,−4,−1⟩.

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 13-02-2018
Consider this option:
1. given: n(A;B;C)=n(-5;-4;-1) and A(-1;-5;-2)=A(x₀;y₀;z₀).
Common view of equation for a plane is Ax+By+Cz+D=0, where A,B,C,D - numbers.
2. from another side using coordinates of A and normal vector it is possible to make up the equation: A(x-x₀)+B(y-y₀)+C(z-z₀)=0 ⇒ -5(x+1)-4(y+5)-(z+2)=0; ⇒ -5x-4y-z-27=0 or 5x+4y+z+27=0.
Answer Link

Otras preguntas

What causes the difference between quiet and explosive eruptions?Explain.
the contour interval is a measurement of ????
a tree 40 feet high casts a shadow 58 feet long. find the measure of the angle of elevation pf the sun.
what is the side length of the smallest square plate on which a 24-cm chopstick can fit along a diagonal without any overhang???!!!!!!!
Two numbers are in the ratio 3:2. If the smaller number is 24, find the larger number
how to write 3 9/100 into a decimal?
Explain how a leaf is like a factory?
Is .31 greater than .41
Charles Darwin did poorly in school as a young boy. How did his poor performance belie his genius?
how do you put 3 90/100 in decimal form