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What are the value of p if the vectors r = (p, p, 1) and s = (p, -2, -3) are perpendicular to each other?

  1. What are the value of p if the vectors r = (p, p, 1) and s = (p, -2, -3) are perpendicular to each other?
  2. Triangle ABC has vertices at (2, 5), B( 4, 11), and C(-1, 6). What are Angles A, B, and C?
  3. Triangle ABC has vertices at (2, 5), B( 4, 11), and C(-1, 6). Is this triangle RIGHT ANGLE TRIANGLE?
  4. What s the angle between vectors a and b if a = 1 - sqrt2 , sqrt 2 - 1) and b = (1,1)?

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