Question

Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?
A. v = <-54, 63>
B. v = <-162, -63>
C. v = <-54, 21>
D. v = <-162, 21>

Answer 1

$\bf u=(-7,2),(11,-5)\implies u=\stackrel{\textit{component form}}{}\implies u= \\\\\\ \stackrel{\textit{opposite direction of it}}{-1}\implies \implies \stackrel{\textit{3 times the magnitude}}{3}\implies \boxed{}$