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Show that, no matter what ( Hint: Do not look for an

Chapter 1, Problem 24DQ

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QUESTION:

Show that, no matter what and are \(\vec{A}\) and \(\vec{B}\) are, \(\vec{A} \cdot(\vec{A} \times \vec{B})=0\). (Hint: Do not look for an elaborate mathematical proof. Rather look at the definition of the direction of the cross product.)

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QUESTION:

Show that, no matter what and are \(\vec{A}\) and \(\vec{B}\) are, \(\vec{A} \cdot(\vec{A} \times \vec{B})=0\). (Hint: Do not look for an elaborate mathematical proof. Rather look at the definition of the direction of the cross product.)

ANSWER:

Solution 24DQ The vector (a × b)is perpendicular to both a and b,by definition the dot p

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