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What is the angle between the vectors u = (1, 0) and v = (0, 1)?

Practice Questions

Q1
What is the angle between the vectors u = (1, 0) and v = (0, 1)?
  1. 0 degrees
  2. 90 degrees
  3. 45 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

What is the angle between the vectors u = (1, 0) and v = (0, 1)?
  • Step 1: Identify the vectors u and v. Here, u = (1, 0) and v = (0, 1).
  • Step 2: Understand that the angle between two vectors can be found using the concept of perpendicularity.
  • Step 3: Check if the vectors u and v are perpendicular. Two vectors are perpendicular if their dot product is zero.
  • Step 4: Calculate the dot product of u and v: u · v = (1 * 0) + (0 * 1) = 0.
  • Step 5: Since the dot product is zero, this means the vectors are perpendicular.
  • Step 6: Conclude that the angle between the vectors u and v is 90 degrees.
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