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]
solved
general
4 months ago
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