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

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

Options:

  1. 0 degrees
  2. 90 degrees
  3. 45 degrees
  4. 180 degrees

Correct Answer: 90 degrees

Solution: 

The angle between (1, 0) and (0, 1) is 90 degrees.

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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