Triple vetor products as a linear combination
State (but do not prove) a formula that expresses the triple vector product p ∧ (q ∧ r)
as a linear combination of the vectors q and r .
as a linear combination of the vectors q and r .
Also, Suppose a , b and c are non-zero vectors such that a • b = a • c = 0 . Show that it is
always possible to find vectors x and y for which a ∧ x = b , a ∧ y = c , and x • y = 0 .
always possible to find vectors x and y for which a ∧ x = b , a ∧ y = c , and x • y = 0 .
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