Recent content by ibaforsale

  1. I

    Let a and b denote 2 2d vectors

    i was thinking the algebra might include taking out common terms but there are none, can i get a hint as to what needs to happen
  2. I

    Let a and b denote 2 2d vectors

    my thinking is that squaring something will always be bigger than multiplying by 2
  3. I

    Let a and b denote 2 2d vectors

    is it greater than 0 because the squared terms will always be greater?
  4. I

    Let a and b denote 2 2d vectors

    oh okay, so i get 2 <= (a12b22 + a22b12) / a1b1a2b2 or if i move everything i get 0 <= a12b22 + a22b12 - 2a1b1a2b2
  5. I

    Let a and b denote 2 2d vectors

    what terms are there to collect? it seems to me that they are different, the first las a1b2 and the second has a2b1
  6. I

    Let a and b denote 2 2d vectors

    hopefully there's no algebra mistakes now i started with a1b1 + a2b2 ≤ √(a12+a22) + √(b12+b22) squared both sides to get (a1b1 + a2b2)2 ≤ (a12+a22) (b12+b22) after working out both sides i end up with 2a1b1a2b2 <= a12b22 + a22b12
  7. I

    Use vectors to form a right triangle on a circle

    is it that the 2 points on the circle cancel each other out?
  8. I

    Use vectors to form a right triangle on a circle

    does it mean that they are on the circle?
  9. I

    Use vectors to form a right triangle on a circle

    im not entirely sure, I am a little thrown off because of the x1 and x2 and y1 and y2
  10. I

    Use vectors to form a right triangle on a circle

    (2,1) isn't because when you plug it into the equation it doesn't equal 6, (0,3) is because it does equal 6. so then if they are all on the same circle they would be the same when plugged into the equation, is that what youre hinting at?
  11. I

    Let a and b denote 2 2d vectors

    so the left side should be (a1b1 + a2b2)2?
  12. I

    Use vectors to form a right triangle on a circle

    all the points on the circle will have the same radius
  13. I

    Use vectors to form a right triangle on a circle

    well if x1 = 1 and x2 = 1 then that would cancel out and same for y but I am not sure if that would work in the general sense.
  14. I

    Use vectors to form a right triangle on a circle

    sorry that was a typo, i copy and paste to make the sub and sup easier the equation of the circle is x2 + y2 = r2 i believe
  15. I

    Use vectors to form a right triangle on a circle

    So for wv = v-w = (x1-x2, y1-y2) and for w*-v = -v - w = (-x1-x1, -y1-y2) after doing the dot product i end up with -x12+ x22 - y12 + y22 but then that's not 0