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

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

Options:

Correct Answer: 90 degrees

Solution:

The angle between u and v is 90 degrees since they are perpendicular.

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

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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