Find the component form and magnitude of the indicated vector.
-Given that $\mathrm { P } = ( - 9,6 )$ and $\mathrm { Q } = ( - 17,11 )$, find the component form and magnitude of the vector $3 \overrightarrow { \mathrm { PQ } }$.
A) $\langle - 24,15 \rangle , \sqrt { 267 }$
B) $\langle - 78,15 \rangle , 3 \sqrt { 701 }$
C) $( - 24,15 ) , 3 \sqrt { 89 }$
D) $\langle 24 , - 15 \rangle , 3 \sqrt { 89 }$

Question

Quizplus · Accepted Answer

The component form of $\overrightarrow{PQ}$ is $(-17 - (-9), 11 - 6) = (-8, 5)$. Multiplying by 3 gives $3 \overrightarrow{PQ} = (-24, 15)$. The magnitude is $3 \sqrt{(-8)^2 + 5^2} = 3 \sqrt{89}$.

Find the Component Form and Magnitude of the Indicated Vector P=(−9,6)\mathrm { P } = ( - 9,6 )P=(−9,6)

Find the Component Form and Magnitude of the Indicated Vector $\mathrm { P } = ( - 9,6 )$