Find the Tangent Vector $\mathbf { r } ^ { \prime }$

question 9

Multiple Choice

Find the tangent vector $\mathbf { r } ^ { \prime }$ (t) of the function r (t) = sin 2t i - cos 2t j when t = $\frac { \pi } { 6 }$ .

• A) \(\frac { 1 } { 2 } \mathbf { i } + \frac { \sqrt { 3 } } { 2 } \mathbf { j }\)
• B) \(\frac { 1 } { 2 } \mathbf { i } - \frac { \sqrt { 3 } } { 2 } \mathbf { j }\)
• C) \(\mathbf { i } + \sqrt { 3 } \mathbf { j }\)
• D) \(- \mathbf { i } - \sqrt { 3 } \mathbf { j }\)
• E) \(\frac { \sqrt { 3 } } { 2 } \mathbf { i } + \frac { 1 } { 2 } \mathbf { j }\)
• F) \(\frac { \sqrt { 3 } } { 2 } \mathbf { i } - \frac { 1 } { 2 } \mathbf { j }\)
• G) \(- \sqrt { 3 } \mathbf { i } + \mathbf { j }\)
• H) \(- \sqrt { 3 } \mathbf { i } - \mathbf { j }\)

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