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Chapter One: Vector Analysis The use of vectors and vector analysis ...

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Electromagnetic <strong>The</strong>orem<br />

(Dr. Omed Ghareb Abdullah) University <strong>of</strong> Sulaimani –College <strong>of</strong> Science – Physics Department<br />

Example:<br />

Find the angle between the face diagonals <strong>of</strong> a cube.<br />

Let:<br />

z<br />

(0,0,1)<br />

<br />

x<br />

<br />

<br />

(1,0,0)<br />

(0,1,0)<br />

y<br />

1 0 1 <br />

0 1 1 <br />

∙ 0011<br />

|| √2 ; || √2<br />

∙ ⟹ ∙<br />

<br />

1 2<br />

⟹ 60 °<br />

Problem:<br />

Find the angle between the body diagonals <strong>of</strong> a cube.<br />

Let:<br />

z<br />

(0,0,1)<br />

<br />

x<br />

(1,0,0)<br />

<br />

<br />

(0,1,0)<br />

y<br />

5

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