Show that the points A-2-3-5k- B-2-3k- and C7-k- are collinear-

[ A( 2,3,5 ) B( 1,2,3 ) C( 7,0, 1 ) #160;; AB =( 3, 1, 2 ) #160;; ...

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Show that the...

Question

Show that the points $A (- 2^i + 3^j + 5^k), B (^i + 2^j + 3^k)$ and $C (7^i -^k)$ are collinear.

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- 2^i + 3^j + 5^k,^i + 2^j + 3^k a n d 7^i -^k

- 2^i + 3^j + 5^k,^i + 2^j + 3^k a n d 7^i -^k

^i + 2^j + 3^k

- 2^i + 3^j + 5^k

7^i -^k

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k, \to b =^i + 3^j - 2^k

\to c = - 2^i +^j - 3^k

\to r = x \to a + y \to b + z \to c

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k, \to b =^i + 3^j - 2^k

\to c = - 2^i +^j - 3^k

\to r = l \to a + m \to b + n \to c

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