Which could be the initial point of vector u if it has a magnitude of 17 and the terminal point (3,13)?a. (-5,-2)b. (-5,2)c. (5,-2)d. (5,2)

Question
Answer:
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -5 &,& -2~) % (c,d) &&(~ 3 &,& 13~) \end{array}\\\\\\ % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ ||u||=\sqrt{[3-(-5)]^2+[13-(-2)]^2}\implies ||u||=\sqrt{(3+5)^2+(13+2)^2} \\\\\\ ||u||=\sqrt{64+225}\implies ||u||=\sqrt{289}\implies ||u||=17[/tex]
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general 4 months ago 4494