A particle moves along a curve whose parametric equations are x = e-t, y = 2 cos t, z = sin t. Its velocity is:

\( - {e^{ - t}}\hat i + 2\cos t\,\hat j + \sin t\,\hat k\)

\( - {e^{ - t}}\hat i - 2\sin t\,\hat j + \cos t\,\hat k\)

\( {e^t}\hat i - 2\sin t\,\hat j + \cos t\,\hat k\)

\( {e^t}\hat i + - 2\sin t\,\hat j - \cos t\,\hat k\)

A particle moves along a curve whose parametric equations are x = e-t,

1.	A particle moves along a curve whose parametric equations are x = e-t, y = 2 cos t, z = sin t. Its velocity is:
A.	\( - {e^{ - t}}\hat i - 2\sin t\,\hat j + \cos t\,\hat k\)
B.	\( - {e^{ - t}}\hat i + 2\cos t\,\hat j + \sin t\,\hat k\)
C.	\( {e^t}\hat i - 2\sin t\,\hat j + \cos t\,\hat k\)
D.	\( {e^t}\hat i + - 2\sin t\,\hat j - \cos t\,\hat k\)
Answer» B. \( - {e^{ - t}}\hat i + 2\cos t\,\hat j + \sin t\,\hat k\)

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A particle moves along a curve whose parametric equations are x = e-t, y = 2 cos t, z = sin t. Its velocity is:

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