jrocketjj9557 jrocketjj9557

23-07-2018
Mathematics

contestada

Find the vector equation for the line of intersection of the planes 5x+3y−2z=−45x+3y−2z=−4 and 5x+5z=0

Respuesta :

LammettHash LammettHash

23-07-2018

[tex]5x+5z=0\implies x+z=0\implies z=-x[/tex]

[tex]5x+3y-2z=7x+3y-2x-2z=7x+3y-2=-4\implies7x+3y=-2[/tex]

Letting [tex]x=t[/tex] and [tex]z=-t[/tex], we have

[tex]7t+3y=-2\implies y=-\dfrac73t-\dfrac23[/tex]

so the intersection is given by

[tex]\mathbf r(t)=\left(t,-\dfrac73t-\dfrac23,-t\right)[/tex]

Answer Link

Otras preguntas

Write an expression that evaluates to true if the int associated with number_of_prizes is divisible (with no remainder) by the int associated with number_of_par

a clothing store is having a sale.a shirt normally sells $30. the store is offering a 15% discount.what is the discounted price?

simplified form please help thank you

Along with neuropsychological assessment, ______ may be used to shed light on relationships between brain function and underlying abnormalities.

In right triangle abc, angle a and angle b are complementary angles. the value of cos a is 5/13. what is the value of sin b.

Which condition is commonly treated with a fasciotomy to relieve pressure??

Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers?

Which of these statements indicates an experiment is systematic?

If f(x) = 2x, then f^1(x) =

Which reactions are redox reactions? check all that apply. check all that apply. 4li(s)+o2(g)→2li2o(s) mg(s)+fe2+(aq)→mg2+(aq)+fe(s) pb(no3)2(aq)+na2s?