If u- -a- b-c- -b- c-a- -c- a-b- then u-

u⃗ = a⃗× (b⃗×c⃗) + b⃗× (c⃗×a⃗) + c⃗× (a⃗×b⃗) ∴u⃗ = (a⃗.c⃗)b⃗ (a⃗.b⃗)c⃗ + (a⃗.b⃗)c⃗ (b⃗.c⃗)a⃗ + (b⃗.c⃗)a⃗ (a⃗.c⃗)b⃗ ∴u⃗ = 0⃗ ...

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Addition of Vectors

If u⃗ =a⃗× ...

Question

If $\to u = \to a \times (\to b \times \to c) + \to b \times (\to c \times \to a) + \to c \times (\to a \times \to b)$ , then $\to u =$

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\to A = \to b \times \to c, \to B = \to c \times \to a, \to C = \to a \times \to b

\to A \times (\to B \times \to C)

\to B \times (\to C \times \to A)

\to C \times (\to A \times \to B)

\to a \times \to b = \to b \times \to c = \to c \times \to a

\to a + \to b + \to c =

(\to b \times \to c) \times (\to c \times \to a) = 3 \to c

[\to b \times \to c

\to c \times \to a

\to a \times \to b] =

\to a, \to b, \to c

\to a \times \to b = \to c, \to b \times \to c = \to a, \to c \times \to a = \to b

| \to a | = | \to b | = | \to c |

(\to a + \to b) \times (\to a - \to b) + (\to b + \to c) \times (\to b - \to c) + (\to c + \to a) \times (\to c - \to a) =

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