2 Which of the following expressions is the determinant of the matrix \(\left[ \begin{array} { l l } a & 2
b & 5 \end{array} \right]\) ?
Circle your answer.
\(5 a - 2 b\)
\(2 a - 5 b\)
\(5 b - 2 a\)
\(2 b - 5 a\)
\(3 \quad\) Point \(P\) has polar coordinates \(\left( 2 , \frac { 2 \pi } { 3 } \right)\).
Which of the following are the Cartesian coordinates of \(P\) ?
Circle your answer.
[0pt] [1 mark]
\(( 1 , - \sqrt { 3 } )\)
\(( - \sqrt { 3 } , 1 )\)
\(( \sqrt { 3 } , - 1 )\)
\(( - 1 , \sqrt { 3 } )\) $$r = \frac { k } { \sin \theta }$$ where \(k\) is a positive constant.