ANSWER
Component form:
[tex]\binom{ - 16}{2} [/tex]
2. Magnitude
[tex]2\sqrt{65} [/tex]
EXPLANATION
Given that P = (-5, 5) and Q = (-13, 6),
Vector PQ
[tex] = \binom{ - 13}{6} - \binom{ - 5}{5} [/tex]
[tex] = \binom{ - 13 + 5}{6 - 5} [/tex]
[tex] = \binom{ - 8}{1} [/tex]
2 vector PQ
[tex] = 2 \binom{ - 8}{1} [/tex]
[tex] = \binom{ - 16}{2} [/tex]
This is the component form.
The magnitude is given by
[tex] = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex] = \sqrt{ {( - 16)}^{2} + {2}^{2} } [/tex]
[tex] = \sqrt{256 + 4} [/tex]
[tex] = \sqrt{260} [/tex]
[tex] = 2\sqrt{65} [/tex]
