If a-b-c- are positive vectors of vertices A-B-C of - ABC- If r- is position vector of a point P such that -b- -c- -c- -a- -a- -b- -r- -b- -c- -a- - c- -a- b- - a- -b- c- then the point P always

The correct option is D incentre of Δ ABC | b #160; c| = BC | a #160; b| = AB | c #160; a| = CA ( AB + BC + CA)r #16 ...

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Centroid

If a⃗,b⃗,c⃗...

Question

If $\to a, \to b, \to c$ are positive vectors of vertices $A, B, C$ of $Δ A B C$ . If $\to r$ is position vector of a point $P$ such that $(| \to b - \to c | + | \to c - \to a | + | \to a - \to b |) \to r = | \to b - \to c | \to a + | \to c - \to a | \to b + ∣ ∣ \to a - \to b ∣ ∣ \to c$ then the point $P$ always

centroid of

Δ A B C

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Othocentre of

Δ A B C

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circumcentre of

Δ A B C

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incentre of

Δ A B C

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Solution

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Similar questions

\to a, \to b, \to c

\to r

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

\to a, \to b, \to c

\to r

(\to a \times \to b) \times (\to r \times \to c) + (\to b \times \to c \times (\to r \times \to a) + (\to c \times \to a) \times (\to r \times \to b)

\to a, \to b, \to c

\to r

(\to a \times \to b) \times (\to r \times \to c) + (\to b \times \to c) \times (\to r \times \to a) + (\to c \times \to a) \times (\to r \times \to b)

\to a, \to b, \to c

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

| \to a | = | \to b | = | \to c |

\to a, \to b, \to c

_{1} = \to a - \to b + \to c,_{2} = \to b + \to c - \to a

_{3} = \to c + \to a - \to b, \to r = 2 \to a - 2 \to b + 4 \to c

\to r = x_{1}_{1} + x_{2}_{2} + x_{3}_{3}

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