For any three vectors a- -b- and c- -a- -b- b- -c- c- -a- -

The correct option is B 2[ a⃗ b⃗ c⃗ #160;] [ ( a⃗ + ...

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Applications of Dot Product

For any three...

Question

For any three vectors $\to a, \to b a n d \to c$ , $[\to a + \to b \to b + \to c \to c + \to a] =$ .

[\to a \to b \to c]

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2 [\to a \to b \to c]

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4 [\to a \to b \to c]

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None of these

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Solution

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\to a, \to b

\to c,

[(\to a + \to b) (\to b + \to c) (\to c + \to a)] = 2 [\to a \to b \to c] .

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

[\to a + \to b \to b + \to c \to c + \to a] = 2 [\to a \to b \to c] .

[\to a \to b \to c] = 4 t h e n [\to a \times \to b \to b \times \to c \to c \times \to a] =

[\to a + \to b \to b + \to c \to c + \to a] = 8

[\to a \to b \to c]

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