Find the triple scalar product .

Question

Find the triple scalar product  .

Quizplus · Accepted Answer

The triple scalar product is given by the determinant of a 3x3 matrix where the first row is the components of the first vector, the second row is the components of the second vector, and the third row is the components of the third vector. 
In this case, the three vectors are all the same - 11eaa595_63e5_8e36_a696_cbce693736f8_TB4584_11_TB4584_11. Therefore, the matrix will have the same vector in all three rows, resulting in a determinant that is equal to the original vector squared. 
So, the answer will be the square of the original vector multiplied by a scalar factor of 11^3, or:
11^3 * (11eaa595_63e5_8e36_a696_cbce693736f8_TB4584_11_TB4584_11)^2 = 11eaa595_63e5_dc5a_a696_a3653465c221_TB4584_11_TB4584_11, which corresponds to choice C.

Find the Triple Scalar Product