Compute the Length of the Given Vector $p ( t ) = 3 t + 4$

Multiple Choice

Compute the length of the given vector.
- $p ( t ) = 3 t + 4$ and $q ( t ) = 4 t - 5$ , where $t _ { 0 } = 0 , t _ { 1 } = 1 , t _ { 2 } = 2$

A) $\| \mathrm { p } \| = \sqrt { 153 } ; \| \mathrm { q } \| = \sqrt { 195 }$
B) $\| \mathrm { p } \| = \sqrt { 165 } ; \| \mathrm { q } \| = \sqrt { 35 }$
C) $\| \mathrm { p } \| = \sqrt { 165 } ; \| \mathrm { q } \| = \sqrt { 145 }$
D) $\| \mathrm { p } \| = \sqrt { - 133 } ; \| \mathrm { q } \| = \sqrt { 15 }$