Find the component form and magnitude of the indicated vector.
-Given that $\mathrm { P } = ( 8,9 )$ and $\mathrm { Q } = ( 9,16 )$, find the component form and magnitude of the vector $\overrightarrow { \mathrm { PQ } }$.
A) $\langle - 1 , - 7 \rangle , \sqrt { 50 }$
B) $\langle 1,7 \rangle , 50$
C) $( - 1 , - 7 ) , 50$
D) $\langle 1,7 \rangle , \sqrt { 50 }$

Question

Quizplus · Accepted Answer

The component form of $\overrightarrow{\mathrm{PQ}}$ is found by subtracting the coordinates of P from Q, resulting in $\langle 9 - 8, 16 - 9 \rangle = \langle 1, 7 \rangle$. The magnitude is $\sqrt{(1)^2 + (7)^2} = \sqrt{1 + 49} = \sqrt{50}$.

Find the Component Form and Magnitude of the Indicated Vector P=(8,9)\mathrm { P } = ( 8,9 )P=(8,9)

Find the Component Form and Magnitude of the Indicated Vector $\mathrm { P } = ( 8,9 )$