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First Anglo-Mysore War

If the vector...

Question

If the vectors $\to a, \to b and \to c$ form the sides BC, CA and AB respectively of $Δ A B C$ , then

A

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

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B

None of these

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C

If the vectors

\to a, \to b and \to c

form the sides BC, CA and AB respectively of

Δ A B C

, then

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D

\to a . \to b = \to b . \to c = \to c . \to a

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Solution

The correct option is A $\to a \times \to b = \to b \times \to c = \to c \times \to a$
Area of $Δ A B C$ is given by
$\frac{1}{2} \to a \times \to b = \frac{1}{2} \to b \times \to c = \frac{1}{2} \to c \times \to a$

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