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aleksley [76]
3 years ago
11

Two vectors, X and Y, form a right angle. Vector X is 48 inches long and vector Y is 14 inches long. The length of the

Physics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

\left \| \vec R \right \|=50\ inches

Explanation:

<u>Vectors In The Plane</u>

Given two vectors \vec X and \vec Y, their sum is shown as the vector \vec R in the image below. It can be seen the magnitude of R is the hypotenuse of a right triangle. i.e.

\left \| \vec R \right \|=\sqrt{\left \| X \right \|^2+\left \| Y \right \|^2}

The magnitude of \vec X is 48 inches and the magnitude of \vec Y is 14 inches, the magnitude of R is

\left \| \vec R \right \|=\sqrt{48^2+14^2}

\left \| \vec R \right \|=\sqrt{2304+196}=\sqrt{2500}

\left \| \vec R \right \|=50\ inches

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