Teaching AWES Army Public School TGT Mock Test 2024 Engineering Mathematics Calculus Vector Calculus
A particle moves along a curve whose parametric equations are x = e-t, y = 2 cos t, z = sin t. Its velocity is:
1
\( - {e^{ - t}}\hat i - 2\sin t\,\hat j + \cos t\,\hat k\)
2
\( - {e^{ - t}}\hat i + 2\cos t\,\hat j + \sin t\,\hat k\)
3
\( {e^t}\hat i - 2\sin t\,\hat j + \cos t\,\hat k\)
4
\( {e^t}\hat i + - 2\sin t\,\hat j - \cos t\,\hat k\)