Answer :
Answer:
[tex]\left \| \vec R \right \|=50\ inches[/tex]
Explanation:
Vectors In The Plane
Given two vectors [tex]\vec X[/tex] and [tex]\vec Y[/tex], their sum is shown as the vector [tex]\vec R[/tex] in the image below. It can be seen the magnitude of R is the hypotenuse of a right triangle. i.e.
[tex]\left \| \vec R \right \|=\sqrt{\left \| X \right \|^2+\left \| Y \right \|^2}[/tex]
The magnitude of [tex]\vec X[/tex] is 48 inches and the magnitude of [tex]\vec Y[/tex] is 14 inches, the magnitude of R is
[tex]\left \| \vec R \right \|=\sqrt{48^2+14^2}[/tex]
[tex]\left \| \vec R \right \|=\sqrt{2304+196}=\sqrt{2500}[/tex]
[tex]\left \| \vec R \right \|=50\ inches[/tex]
