Compute the Length of the Given Vector $\mathrm { p } ( \mathrm { t } ) = 13 \mathrm { t } ^ { 2 }$

question 29

Multiple Choice

Compute the length of the given vector.
- $\mathrm { p } ( \mathrm { t } ) = 13 \mathrm { t } ^ { 2 }$ and $\mathrm { q } ( \mathrm { t } ) = \mathrm { t } - 1$ , where $\mathrm { t } _ { 0 } = 0 , \mathrm { t } _ { 1 } = \frac { 1 } { 2 } , \mathrm { t } _ { 2 } = 1$

• A) \(\| \mathrm { p } \| = 0.5 \sqrt { 70 } ; \| \mathrm { q } \| = \sqrt { \frac { 5 } { 4 } }\)
• B) \(\| \mathrm { p } \| = \sqrt { \frac { 5 } { 4 } } ; \| \mathrm { q } \| = 13 \sqrt { \frac { 5 } { 4 } }\)
• C) \(\| \mathrm { p } \| = 13 \sqrt { 17 } ; \| \mathrm { q } \| = \sqrt { \frac { 5 } { 4 } }\)
• D) \(\| \mathrm { p } \| = \frac { 13 } { 4 } \sqrt { 17 } ; \| \mathrm { q } \| = \sqrt { \frac { 5 } { 4 } }\)

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