If the lines r=a+λ(b×c) and r=b+μ(c×a) intersect each other then the condition is

a-b·(b×c)×(c×a)=0(a-b)·[b c a] c-0=0a·c=b·c

If the lines r=a+λ(b×c) and r=b+μ(c×a) intersect each other then the condition is

a-b·(b×c)×(c×a)=0(a-b)·[b c a] c-0=0a·c=b·c

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If the lines $r = a + λ (b \times c)$ and $r = b + μ (c \times a)$ intersect each other then the condition is

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$a . b = a . c$

$b . c = b . a$

None

$c . a = c . b$

answer is C.

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$\begin{array}{rcl} (a - b) \cdot ((b \times c) \times (c \times a)) & = & 0 \\ (a - b) \cdot [[b c a] c - 0] & = & 0 \\ a \cdot c & = & b \cdot c \end{array}$

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If the lines r=a+λ(b×c) and r=b+μ(c×a) intersect each other then the condition is

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If the lines $r = a + λ (b \times c)$ and $r = b + μ (c \times a)$ intersect each other then the condition is