Problem 1. Given: a, b, and c are arbitrary vectors. a. Express the unit normal vector...

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Problem 1. Given: a, b, and c are arbitrary vectors. a. Express the unit normal vector (n) to the plane of the vectors a and b in terms of their components. b. Using indicial notation, calculate the triple scalar product c. (bxc). Explain why this is equal to zero. c. If faa+3b+yc, where a, B, and y are unknown constant coefficients, show that Eijk fi aj bk = Epqrcpaqbr Problem 1. Given: a, b, and c are arbitrary vectors. a. Express the unit normal vector (n) to the plane of the vectors a and b in terms of their components. b. Using indicial notation, calculate the triple scalar product c. (bxc). Explain why this is equal to zero. c. If faa+3b+yc, where a, B, and y are unknown constant coefficients, show that Eijk fi aj bk = Epqrcpaqbr