Be the vectors a^→ = (1, −1, 2), b^→ = (−5, k, k) and c^→ = (3, 1, 2) in the rectangular Cartesian coordinate system. For any vector r^→ , the equation r^→ ×a^→ + kb^→ = c^→ has a solution when k is equal to?


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Question Number 43613 by indalecioneves last updated on 12/Sep/18

$B e t h e v e c t o r s \vec{a} = (1, - 1, 2), \vec{b} = (- 5, k, k) a n d \vec{c} = (3, 1, 2) i n t h e$ $r e c t a n g u l a r C a r t e s i a n c o o r d i n a t e s y s t e m . F o r a n y v e c t o r \vec{r}, t h e e q u a t i o n \vec{r} \times \vec{a} + k \vec{b} = \vec{c} h a s a s o l u t i o n w h e n k i s e q u a l t o ?$
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