If overrightarrow {AO} + overrightarrow {OB} | vedclass

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(C) Given the equation: $\overrightarrow {AO} + \overrightarrow {OB} = \overrightarrow {BO} + \overrightarrow {OC}$.By the triangle law of vector addi

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Isosceles triangle

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(C) Given the equation: $\overrightarrow {AO} + \overrightarrow {OB} = \overrightarrow {BO} + \overrightarrow {OC}$.By the triangle law of vector addition,$\overrightarrow {AO} + \overrightarrow {OB} = \overrightarrow {AB}$.Similarly,$\overrightarrow {BO} + \overrightarrow {OC} = \overrightarrow {BC}$.Therefore,$\overrightarrow {AB} = \overrightarrow {BC}$.This implies that the magnitude of vector $\overrightarrow {AB}$ is equal to the magnitude of vector $\overrightarrow {BC}$,i.e.,$|\overrightarrow {AB}| = |\overrightarrow {BC}|$.Since the lengths of the two sides $AB$ and $BC$ are equal,the points $A, B, C$ form an isosceles triangle.

If $\overrightarrow {AO} + \overrightarrow {OB} = \overrightarrow {BO} + \overrightarrow {OC} ,$ then $A, B, C$ form

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