Question

Find the quantity if v=5i-7j and w=3i+2j ||v||-||w||

Answer 1

`\begin{cases} v=5i-7j\\\\ w=3i+2j \end{cases}\qquad \begin{cases} < \stackrel{a}{5}~~,~~\stackrel{b}{-7} > \\\\ < \stackrel{a}{3}~~,~~\stackrel{b}{2} > \end{cases}\qquad \qquad \stackrel{magnitude}{√(a^2 + b^2)} \\\\[-0.35em] ~\dotfill\\\\ ||v||~~ - ~~||w||\implies √(5^2+(-7)^2)~~ - ~~√(3^2 + 2^2)\implies √(74)-√(13) ~~ \approx ~~ 5`