Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Flapdragon

I need some help with writing this coordinate proof... :c

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Flapdragon
    Best Response
    You've already chosen the best response.
    Medals 0

    • 2 years ago
    1 Attachment
  2. Flapdragon
    Best Response
    You've already chosen the best response.
    Medals 0

    I know the distance/slope/midpoint formulas, but I'm still kind of confused. :c

    • 2 years ago
  3. anhhuyalex
    Best Response
    You've already chosen the best response.
    Medals 0

    find the slope of WY and XZ. If they are perpendicular, they should have slopes that have a product of -1. Slope formula is rise/run.

    • 2 years ago
  4. ash2326
    Best Response
    You've already chosen the best response.
    Medals 2

    find slope of the line wy and zx, let it be m1 and m2 let two points be x2,y2 and x1,y1 slope m=(y2-y1)/(x2-x1) slope of line wy=(4b-0)/(a-a)=infinity slope of line zx=(b-b)/(0-2a)=0 now find tan inverse of each slope that will give us the angle the line makes with the x axis tan inverse of infinity is 90 degrees tan inverse of 0 is 0 degrees so wy is perpendicular to x axis and zx is parallel to x axis so wy is perpendicular to zx hence the diagonals are perpendicular to each other

    • 2 years ago
  5. anhhuyalex
    Best Response
    You've already chosen the best response.
    Medals 0

    @Ash: Precisely. Although a very complicated proof, I can see. :P

    • 2 years ago
  6. Flapdragon
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so much! That helps a lot. :D

    • 2 years ago
  7. mathmate
    Best Response
    You've already chosen the best response.
    Medals 0

    To show in a general way that two lines intersect at 90 degrees can be done by expressing each line in its general form: Ax+By+C=0 Say we have two lines, L1 : 5x+2y-5=0, and L2 : -4x + 10y +7=0 If the products of corresponding coefficients of x and y add up to zero, then the two lines intersect at 90 degrees. In the cited example, we find 5(-4)+2(10)=0, so we can safely conclude that L1 is perpendicular (orthogonal) to L2. This result comes from linear algebra or vector products. The best part is that the test still works with vertical and horizontal lines: L3 : x - a = 0 L4 : + y - b = 0 Then since 1(0)+0(1)=0, L3 is perpendicular to L4.

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.