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Questions  >>  CBSE XII  >>  Math  >>  Vector Algebra
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True-or-false: If $\overrightarrow{a}$ and $\overrightarrow{b}$ are adjacent sides of a rhombus,then $\overrightarrow{a}.\overrightarrow{b}=0$

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  • Rhombus is a parallelogram, whose diagonals bisects at right angles.
  • $ \overrightarrow a. \overrightarrow b=0$ if $ \overrightarrow a \perp \overrightarrow b=0$
We know that if $ \overrightarrow a \perp \overrightarrow b$ then $ \overrightarrow a . \overrightarrow b=0$
Vector area of a parallelogram is $\overrightarrow a \times \overrightarrow b$
In a rhombus the adjacent sides are not perpendicular to each other.
Hence the statment is $false$
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