Find the quantity if v = 5i - 7j and w = 3i + 2j.
-$\| v \| + \| \mathbf { w } \|$
A) $2 \sqrt { 6 } + \sqrt { 13 }$
B) $\sqrt { 74 } + \sqrt { 13 }$
C) $\sqrt { 39 }$
D) $\sqrt { 87 }$

Question

Quizplus · Accepted Answer

The magnitude of vector v is $\| v \| = \sqrt{5^2 + (-7)^2} = \sqrt{25 + 49} = \sqrt{74}$. The magnitude of vector w is $\| w \| = \sqrt{3^2 + 2^2} = \sqrt{9 + 4} = \sqrt{13}$. Therefore, $\| v \| + \| w \| = \sqrt{74} + \sqrt{13}$.

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