The value of - a - b b - c c - a - where - a -1- b -5- c -3- isA- 0B- 1C- 6D- None of these

The correct option is A 0Since,a⃗ b⃗+b⃗ c⃗+c⃗ a⃗=0, therefore the vectors a⃗ b⃗,b⃗ c⃗ and c⃗ a⃗ are coplanar. We know that if three vectors are coplanar, then ...

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Byju's Answer

Standard IX

Mathematics

Scalar Triple Product

The value of ...

Question

The value of $[\to a - \to b \to b - \to c \to c - \to a]$ where $| \to a | = 1, | \to b | = 5, | \to c | = 3$ , is

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None of these

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Solution

Since, $\to a - \to b + \to b - \to c + \to c - \to a = 0$ , therefore the vectors
$\to a - \to b, \to b - \to c a n d \to c - \to a$ are coplanar. We know that
if three vectors are coplanar, then their box product would be equal to zero. Also try to recollect why
this is so.
Hence for our present case, $[\to a - \to b \to b - \to c \to c - \to a] = 0$ .

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