Assume two arbitrary 3-D vectors A and B. Consider the vector given by the expre

Question

Assume two arbitrary 3-D vectors A and B. Consider the vector given by the expression A Times [A Times B]. Which of the following statements for this vector is true? You can move parentheses around the cross products. Let's put them around A Times A which evaluates to the zero vector. Thus A Times (A Times B) is equal to the zero vector. You can move the parentheses around the double products. Let's put them around A Times A which evaluates to A^2 where A is the length of vector A. Thus A Times (A Times B) is 2 equal to A^2 B The direction of the vector representing the double product A Times (A Times B) is easily determined: It lies in the plane spanned by A and B and furthermore is perpendicular to A None of the statements above is correct.

Explanation / Answer

Option (c) is correct.

The direction of the vectro representing the double product is easily determined. It lies in the plane spanned by

A and B and furthermore is perpendicular to A

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