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Homework Statement
Let there be two vectors [tex]\mathbf{OA},\mathbf{OB}\neq\mathbf{0}[/tex]If [tex]
\exists k\in \mathbb{R}[/tex] such as that [tex]\left \| \mathbf{OA} +k\mathbf{OB}\right \|=1[/tex] show that [tex]Area(OACB)\leq\left \| \mathbf{OB} \right \|[/tex] (OACB:parallelogram)
Homework Equations
None
The Attempt at a Solution
I proved that we need to show that [tex]\left \|\mathbf{a}\right \| \left \|\mathbf{b}\right \| \sin(\theta )\leq \left \|\mathbf{b} \right \|[/tex] where θ:angle of vectors a=ΟΑ,b=ΟΒ but after that I am stuck.
Any suggestions? Any hints on how I should proceed?
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