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Identities with triple products

Triple products

Concept 13 of 13 in Vectors

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Think about this

Take a⃗=i^\vec a = \hat i, b⃗=j^\vec b = \hat j, c⃗=k^\vec c = \hat k, so [a⃗ b⃗ c⃗]=1[\vec a\ \vec b\ \vec c] = 1. What is [a⃗+b⃗  b⃗+c⃗  c⃗+a⃗][\vec a + \vec b\ \ \vec b + \vec c\ \ \vec c + \vec a]?