Show that the inner product of the vectors
x ⃗=a_1 (e_1 ) ⃗+a_2 (e_2 ) ⃗+⋯.+a_n (e_n ) ⃗
And X ⃗=|■((e_1 ) ⃗&(e_2 ) ⃗@a_1&a_2 )|+|■((e_2 ) ⃗&(e_3 ) ⃗@a_2&a_3 )|+⋯+|■((e_n ) ⃗&(e_n ) ⃗@a_n&a_n )| vanishes.
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