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Second Derivative Test for Local Maximum

36. Let a,b,c...

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36. Let a,b,c be three non zero vectors which are pairwise non collinear . Let a+3b is collenear with c and b+2c is collenear with a . Then find ( a+3b+6c )

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Q. Let a, b and c be three non - zero vectors which are pairwise non- collinear. If a + 3b is collinear with c and b + 2c is collinear with a, then a + 3b + 6c is equal to

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

be three non-zero vectors whcih are pairwise non-collinear. If

¯ ¯ ¯ a + 3 ¯ ¯ b

is collinear with

¯ ¯ c

¯ ¯ b + 2 ¯ ¯ c

is collinear with

¯ ¯ ¯ a

¯ ¯ ¯ a + 3 ¯ ¯ b + 6 ¯ ¯ c

\to a, \to b, \to c

be three non zero vectors which are pairwise non-collinear. If

\to a + 3 \to b

is collinear and

\to b + 2 \to c

is collinear with

\to a

\to a + 3 \to b + 6 \to c

Q. Three non-zero non-collinear vectors

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

¯ ¯ ¯ a + 3 ¯ ¯ b

is collinear with

¯ ¯ c

¯ ¯ ¯ 3 b + 2 ¯ ¯ c

is collinear with

¯ ¯ ¯ a

¯ ¯ ¯ a + 3 ¯ ¯ b + 2 ¯ ¯ c =

\to a, \to b

\to c

are three nonzero, non collinear vectors. If the vector

3 \to a + 7 \to b

is collinear with

\to c

3 \to b + 2 \to c

is collinear with

\to a

∣ ∣ 9 \to a + 21 \to b + 14 \to c ∣ ∣

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