Find T, N, and B for the Given Space Curve $$r ( t ) = ( \ln ( \cos t ) + 1 ) \mathbf { i } + 1 \mathbf { j } + ( 10 + t ) \mathbf { k } , - \pi / 2 < t < \pi / 2$$

Multiple Choice

Find T, N, and B for the given space curve.
- $$r ( t ) = ( \ln ( \cos t ) + 1 ) \mathbf { i } + 1 \mathbf { j } + ( 10 + t ) \mathbf { k } , - \pi / 2 < t < \pi / 2$$

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