Given that P = (-5, 5) and Q = (-13, 6), find the component form and magnitude of 2vector PQ

ANSWERComponent form:[tex]\binom{ - 16}{2} [/tex]2. Magnitude[tex]2\sqrt{65} [/tex]EXPLANATIONGiven 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]