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What is the difference between arc length along a space curve and arc length parameter from a base point?

a. Magnitude
b. Direction
c. Both Magnitude and Direction
d. No Difference

User Urgo
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1 Answer

4 votes

Final answer:

There is no difference between arc length along a space curve and arc length parameter from a base point, as both measure the distance along a curve without considering direction.

Therefore, the correct answer is option c. Both Magnitude and Direction.

Step-by-step explanation:

The question concerns the difference between the arc length along a space curve and arc length parameter from a base point. The correct answer to the question is 'd. No Difference.'

Both terms refer to the measurement of the path or distance along a curve from a specific base point to another point, and they do not inherently include direction as part of their definition. Therefore, neither option takes into account magnitude or direction as differentiating factors.

The difference between arc length along a space curve and arc length parameter from a base point is in magnitude and direction.

Arc length along a space curve describes the distance traveled along a curved path, while arc length parameter from a base point specifies the position along the curve in terms of a parameter such as time or angle. Therefore, the correct answer is option c. Both Magnitude and Direction.

User Qurashi
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