If A-O-O-B-B-O-O-C- then A- B and C are where O is the origin

The correct option is A coplanar [ AO + OB =BO+ OC #160;; AB = BC #160; ] Therefore, A,B and C are collinea ...

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Dot Product of Two Vectors

If A⃗O⃗+O⃗B...

Question

If $\to A O + \to O B = \to B O + \to O C$ , then $A, B$ and $C$ are (where $O$ is the origin)

coplanar

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collinear

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non-collinear

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none of these

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Solution

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Similar questions

\to A O + \to O B = \to B O + \to O C

⎡ ⎢ ⎢ ⎣ \begin{matrix} \to O A \times \to O B =^i -^j +^k \to O B \times \to O C =^i \to O C \times \to O A = -^i +^j \end{matrix} ⎤ ⎥ ⎥ ⎦

∣ ∣ \to C A \times \to C B ∣ ∣

A, B, C

^i +^j,^i -^j

l^i + m^j + n^k

O

\to O A, \to O B, \to O C

\to O A, \to O B

\to A B

a, b

c

\to O C

\to O B

A B C D

O

\to O A + \to O B + \to O C + \to O D

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