Find T, N, and B for the Given Space Curve $$\mathbf { r } ( t ) = ( 8 + t ) \mathbf { i } + ( 9 + \ln ( \sec t ) ) \mathbf { j } - 10 \mathbf { k } , - \pi / 2 < t < \pi / 2$$

Multiple Choice

Find T, N, and B for the given space curve.
- $$\mathbf { r } ( t ) = ( 8 + t ) \mathbf { i } + ( 9 + \ln ( \sec t ) ) \mathbf { j } - 10 \mathbf { k } , - \pi / 2 < t < \pi / 2$$

A) T = (-cos t) i - (sin t) j; N = (sin t) i - (cos t) j ; B = -k
B) T = (cos t) i + (sin t) j; N = (- sin t) i + (cos t) j ; B = k
C) T = (cos t) i - (sin t) j; N = (-sin t) i - (cos t) j ; B = -k
D) T = (-cos t) i - (sin t) j; N = (-cos t) i + (sin t) j ; B = k