19. If vector a b c and d are non coplanar vectors , then d.{ax[bx(cxd)]} is equal to ?

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a, b, c

(a + b + c) \cdot ((a + b) \times (a + c))

\to a

\to b

\to c

\to c

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

- ¯ ¯ ¯ a + 3 ¯ ¯ b - 5 ¯ ¯ c, - ¯ ¯ ¯ a + ¯ ¯ b + ¯ ¯ c

2 ¯ ¯ ¯ a - 3 ¯ ¯ b + ¯ ¯ c

If $\to a, \to b, \to c$ are non-coplanar vectors and $\to d = λ \to a + μ \to b + ν \to c,$ then $λ$ equal to

(l a + m b + n c) . (l p + m q + n r)

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