If the position vector of a point is (5, 12), what is its distance from the orig

If the position vector of a point is (5, 12), what is its distance from the origin?

If the position vector of a point is (5, 12), what is its distance from the origin?

Step 1: Identify the position vector of the point, which is (5, 12).
Step 2: Recognize that the origin is the point (0, 0).
Step 3: Use the distance formula, which is Distance = √(x^2 + y^2), where (x, y) are the coordinates of the point.
Step 4: Substitute the values from the position vector into the formula: Distance = √(5^2 + 12^2).
Step 5: Calculate 5^2, which is 25.
Step 6: Calculate 12^2, which is 144.
Step 7: Add the results from Step 5 and Step 6: 25 + 144 = 169.
Step 8: Take the square root of 169: √169 = 13.
Step 9: Conclude that the distance from the origin to the point (5, 12) is 13.

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