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

Practice Questions

Q1
What is the angle between the vectors (1, 0) and (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 (1, 0) and (0, 1)?
  • Step 1: Identify the two vectors. The first vector is (1, 0) and the second vector is (0, 1).
  • Step 2: Understand that (1, 0) points to the right along the x-axis.
  • Step 3: Understand that (0, 1) points up along the y-axis.
  • Step 4: Visualize the two vectors on a graph. They form a right angle.
  • Step 5: Recognize that a right angle measures 90 degrees.
  • Step 6: Conclude that the angle between the vectors (1, 0) and (0, 1) is 90 degrees.
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