If a-b- c- are three vector such that a-b- c-0 and - a- -2- b- -3- c- -5 then the value of a - b - b - c - c - a is

The correct options are A 0 D 38 Given a⃗,b⃗,c⃗ are three non coplanar and p⃗,q⃗,r⃗ are reciprocal vectors to a⃗,b⃗ and c⃗ re ...

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Orthogonal Matrix

If a⃗,b⃗, c...

Question

If $\to a, \to b, \to c$ are three vector such that $\to a + \to b + \to c = ¯ ¯ ¯ 0$ and $| ¯ a | = 2 ∣ ∣ ¯ b ∣ ∣ = 3 | ¯ c | = 5$ then the value of $¯ ¯ ¯ a . ¯ ¯ b + ¯ ¯ b . ¯ ¯ c + ¯ ¯ c . ¯ ¯ ¯ a i s$

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\to a, \to b, \to c

\to a + \to b + \to c = \to 0,

\to a \times \to b = \to b \times \to c = \to c \times \to a,

[\to a \to b \to c] = 0.

(\to a \times \to b) \times \to c = \to a \times (\to b \times \to c)

\to a, \to b

\to c

\to a . \to b \neq 0, \to b . \to c \neq 0

\to a

\to c

\to a, \to b, \to c

\to a, \to b, \to c

\to a \times \to b = \to b \times \to c = \to c \times \to a

[\to a \to b \to c] = 0.

\to a, \to b, \to c

[\to a \to b \to c] = 5

[\to a \times \to b, \to b \times \to c, \to c \times \to a]

If $\to a, \to b, \to c$ are three vectors such that $| \to a | = 5, | \to b | = 12$ and $| \to c | = 13$ and $\to a + \to b + \to c = 0$

Find the value of $\to a . \to b + \to b . \to c + \to c . \to a$ .

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