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

question 5

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) \(\| \mathrm { p } \| = \sqrt { - 133 } ; \| \mathrm { q } \| = \sqrt { 15 }\)

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