Find the quantity if v = 5i - 7j and w = 3i + 2j.
-$\| \mathbf { v } + \mathbf { w } \|$
A) $2 \sqrt { 6 } + \sqrt { 13 }$
B) $\sqrt { 74 } + \sqrt { 13 }$
C) $\sqrt { 39 }$
D) $\sqrt { 89 }$

Question

Quizplus · Accepted Answer

First, add vectors v and w: $v + w = (5i - 7j) + (3i + 2j) = 8i - 5j$. Then, find the magnitude: $\| \mathbf { v } + \mathbf { w } \| = \sqrt{(8)^2 + (-5)^2} = \sqrt{64 + 25} = \sqrt{89}$.

Find the Quantity If V = 5i - 7j and W