fiohauwe6496 fiohauwe6496
  • 03-10-2017
  • Mathematics
contestada

Find the point p where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = 3.

Respuesta :

Аноним Аноним
  • 03-10-2017
The given lines are
x = 1 + t
y = 2t
z = -3t

The plane is x + y - z = 3

If the lines intersect the plane at a point p, then the lines should satisfy the equation of the plane.
That is,
(1 + t) + (2t) - (-3t) = 3
1 + t + 2t + 3t = 3
1 + 6t = 3
6t = 2
t = 1/3

Therefore the coordinates of the point p are
x = 1 + 1/3 = 4/3
y = 2(1/3) = 2/3
z = -3(1/3) = -1

That is p (4/3, 2/3, -1)


Answer: The point p has coordinates (4/3, 2/3, -1)
Answer Link

Otras preguntas

How many more people were in the North than the South? (Civil War)
please help me with this question number 22
How many solutions does the equation 6s – 3s – 9 = –2 + 3 have? Only one None Two Infinitely many
polynomial equation. How do I do distributive property?
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0. x = –3 or x = –2 x = –3 or x = 2 x = –2 or x = 3 x = 2 or x = 3
Any useful activity is _____. leisure an occupation your identity work
In Egyptian mythology, Hathor is a(n) ___ goddess who has the head of a cow. A.ursine B.leonine C.simian D.bovine
does the reaction take longer if more vinegar is added to the baking soda? Write what you think (hypothesis)
Which best describes the underlined clause? I liked the movie about whales, which we saw at the aquarium last summer. A.possessive B.adverb clause C.noun claus
what is 2.29 as a fraction