Create the page "Orthogonal" on this wiki! See also the search results found.

• 2006 iTest Problems
  ...eral triangle <math>ABC</math>. <math>D</math> and <math>E</math> are the orthogonal projections of <math>B</math> and <math>C</math> onto <math>\ell</math> res
  31 KB (4,811 words) - 00:02, 4 November 2023
• 2017 AIME II Problems/Problem 15
  ...n if <math>X</math> is any point inside tetrahedron <math>ABCD</math>, its orthogonal projection onto line <math>MN</math> will have smaller <math>f</math>-value
  6 KB (971 words) - 02:08, 22 January 2024
• 2018 AMC 12B Problems/Problem 23
  Let <math>D</math> be the orthogonal projection of <math>B</math> onto the equator. Note that <math>\angle BDA = Let <math>D</math> be the orthogonal projection of <math>B</math> onto the equator. Note that <math>\angle BDA =
  6 KB (984 words) - 22:39, 3 December 2021
• 2018 IMO Problems/Problem 6
  The circle <math>BDF</math> is orthogonal to the circle <math>\theta</math> <i><b>(Claim 2).</b></i> The circles <math>BDF</math> and <math>BDE</math> are orthogonal to the circle <math>\omega</math> <i><b>(Claim 2).</b></i>
  8 KB (1,407 words) - 01:47, 19 November 2023
• 2006 iTest Problems/Problem 27
  ...eral triangle <math>ABC</math>. <math>D</math> and <math>E</math> are the orthogonal projections of <math>B</math> and <math>C</math> onto <math>\ell</math> res
  3 KB (488 words) - 12:54, 7 December 2018
• 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8
  ...ength <math>r</math> in the unit direction <math>(12,5)/13</math> which is orthogonal to the line AB.
  2 KB (278 words) - 04:37, 19 January 2019
• 2020 AMC 10A Problems/Problem 20
  ...rrow{\mathbf{BC}}</math> and <math>\overrightarrow{\mathbf{BA}}</math> are orthogonal, and their dot-product is <math>0</math>.
  13 KB (2,046 words) - 18:33, 28 October 2023
• 2021 AIME I Problems/Problem 13
  ...{2}r</math>. Let <math>x=O_{1}O_{2}</math> and <math>O^{\prime}</math> the orthogonal projection of <math>O</math> onto line <math>\ell</math>. Define the functi
  17 KB (2,852 words) - 03:59, 7 February 2024
• 2021 AMC 12A Problems/Problem 20
  ...math>\ell</math>, and further let <math>X</math> and <math>Y</math> be the orthogonal projections of <math>F</math> and <math>V</math> onto <math>AQ</math>. Beca
  4 KB (796 words) - 17:33, 13 July 2021
• 1979 IMO Problems/Problem 4
  ...</math> on the plane <math>p</math>. Then, the line <math>PT</math> is the orthogonal projection of the line <math>PQ</math> on the plane <math>p</math>, and thu
  4 KB (662 words) - 23:01, 29 January 2021
• 2023 AIME I Problems/Problem 14
  ...- a + 1,\ j + a)</math>. We observe the equivalent result for steps in the orthogonal direction.
  11 KB (1,834 words) - 22:01, 4 January 2024
• 2023 AIME II Problems/Problem 12
  (Note that in our problem, since <math>AP</math> and <math>BC</math> are not orthogonal, (<math>ABC</math> isn't isosceles) this is enough to show that <math>BQCP<
  12 KB (1,900 words) - 18:14, 28 January 2024
• Orthonormal
  ...t of "orthonormal" refers to the fact that distinct vectors in the set are orthogonal (perpendicular): their [[dot product]] is zero. The "normal" part refers to
  3 KB (518 words) - 22:17, 26 June 2023
• 1992 IMO Problems/Problem 5
  ...math>,<math>S_{y}</math>,<math>S_{z}</math>, be the sets consisting of the orthogonal projections of the points of <math>S</math> onto the <math>yz</math>-plane, ...otes the number of elements in the finite set <math>|A|</math>. (Note: The orthogonal projection of a point onto a plane is the foot of the perpendicular from th
  3 KB (560 words) - 00:43, 17 November 2023
• 1990 OIM Problems/Problem 4
  b. Prove that there is a circle orthogonal to all the circles <math>C_2</math>. NOTE: Two circles are orthogonal if they intersect and the respective tangents at the points of intersection
  862 bytes (152 words) - 13:41, 13 December 2023
• 1995 OIM Problems/Problem 3
  Let <math>r</math> and <math>s</math> be two orthogonal lines that are not in the same plane. Let <math>AB</math> be their common p
  767 bytes (136 words) - 14:48, 13 December 2023

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)