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Consider the velocity field v = y²i — x²j – z²k. - - Evaluate the divergence and curl of this field at the point (1, 2, 1) and use your answers to select the two options that describe the behaviour of v in the immediate vicinity of (1, 2, 1). Select one or more: A flow corresponding to an anticlockwise rotation about the z-axis when viewed from the positive z-axis. A flow corresponding to no rotation about the z- axis. A net inward flow. No net inflow or outflow. A flow corresponding to a clockwise rotation about the z-axis when viewed from the positive z-axis. O A net outward flow.

Consider the velocity field v = y²i — x²j – z²k. - - Evaluate the divergence and curl of this field at the point (1, 2, 1) and use your answers to select the two options that describe the behaviour of v in the immediate vicinity of (1, 2, 1). Select one or more: A flow corresponding to an anticlockwise rotation about the z-axis when viewed from the positive z-axis. A flow corresponding to no rotation about the z- axis. A net inward flow. No net inflow or outflow. A flow corresponding to a clockwise rotation about the z-axis when viewed from the positive z-axis. O A net outward flow.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the velocity field v = y²i — x²j – z²k. - Evaluate the divergence and curl of this field at the point (1, 2, 1) and use your answers to select the two options that describe the behaviour of v in the immediate vicinity of (1, 2, 1). Select one or more: A flow corresponding to an anticlockwise rotation about the z-axis when viewed from the positive z-axis. A flow corresponding to no rotation about the z- axis. A net inward flow. No net inflow or outflow. A flow corresponding to a clockwise rotation about the z-axis when viewed from the positive z-axis. OA net outward flow.
Transcribed Image Text:Consider the velocity field v = y²i — x²j – z²k. - Evaluate the divergence and curl of this field at the point (1, 2, 1) and use your answers to select the two options that describe the behaviour of v in the immediate vicinity of (1, 2, 1). Select one or more: A flow corresponding to an anticlockwise rotation about the z-axis when viewed from the positive z-axis. A flow corresponding to no rotation about the z- axis. A net inward flow. No net inflow or outflow. A flow corresponding to a clockwise rotation about the z-axis when viewed from the positive z-axis. OA net outward flow.
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