Question: Use Exercise 77 to prove the identity Data From Exercise 77 Let a, b, c be nonzero vectors. Assume that b and c are not

Use Exercise 77 to prove the identity

(axb)xc-ax(bxc) = (a - b)c - (b.c)a


Data From Exercise 77

Let a, b, c be nonzero vectors. Assume that b and c are not parallel, and set

v = ax (bx c), (a) Prove that: (i) v lies in the plane spanned by b and c. (ii) v is orthogonal to a. w = (a

ax(bxc) bxc b a C

(axb)xc-ax(bxc) = (a - b)c - (b.c)a

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