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If the vector A = (2, 3) is reflected across the line y = x, what is the resulti
If the vector A = (2, 3) is reflected across the line y = x, what is the resulting vector?
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Practice Questions
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Q1
If the vector A = (2, 3) is reflected across the line y = x, what is the resulting vector?
(3, 2)
(2, 3)
(0, 0)
(1, 1)
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Reflection across y = x gives vector (3, 2).
Questions & Step-by-step Solutions
1 item
Q
Q: If the vector A = (2, 3) is reflected across the line y = x, what is the resulting vector?
Solution:
Reflection across y = x gives vector (3, 2).
Steps: 5
Show Steps
Step 1: Understand what the vector A = (2, 3) means. It has an x-coordinate of 2 and a y-coordinate of 3.
Step 2: Identify the line y = x. This line means that for any point on it, the x-coordinate is equal to the y-coordinate.
Step 3: To reflect a point across the line y = x, you swap the x and y coordinates.
Step 4: Apply the reflection to vector A = (2, 3). Swap the coordinates: the new x-coordinate will be 3 and the new y-coordinate will be 2.
Step 5: Write the resulting vector after reflection. The new vector is (3, 2).
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