abssssss963 abssssss963
  • 03-02-2018
  • Mathematics
contestada

Is the line x = 6-7t, y = 1+2t, z= -7t parallel to the plane 2x+y+z?

Respuesta :

chloe62cosper1
chloe62cosper1 chloe62cosper1
  • 06-02-2018

In the formula of the distance between a point and a plane (not any plane but a plane parallel to the original one, equation [1] ), keeping D=2, and d as d itself, we get:

D=|ax1+by1+cz1+d|√a2+b2+c2
2=∣∣1⋅0+2⋅0+(−2)⋅(−12)+d∣∣√1+4+4
|d+1|=2⋅3 => |d+1|=6First solution:
d+1=6 => d=5
→x+2y−2z+5=0Second solution:
d+1=−6 => d=−7
→x+2y−2z−7=0
Answer Link

Otras preguntas

find the circumference of a circle whose radius is 15.4cm
find the circumference of a circle whose radius is 15.4cm
What value of x makes the equation true ? 4(2x-4)=16
find the circumference of a circle whose radius is 15.4cm
In scientific notation, what is the sum of 2.3 times 10^{-3} and 5.4 times 10^{-4}?a. 2.84 times 10^{-3}b. 5.63 times 10^{-3}c. 7.7 times 10^{-7}d. 12.42 times
In scientific notation, what is the sum of 2.3 times 10^{-3} and 5.4 times 10^{-4}?a. 2.84 times 10^{-3}b. 5.63 times 10^{-3}c. 7.7 times 10^{-7}d. 12.42 times
find the circumference of a circle whose radius is 15.4cm
jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music
What value of x makes the equation true ? 4(2x-4)=16
find the circumference of a circle whose radius is 15.4cm