Mathematics - Vector Question with Solution | TestHub

MathematicsVectorGeneral definitions, Angle between vectors, Section formula, Geometrical resultsEasy2 minPYQ_2020

MathematicsEasysingle choice

If $r$ and $s$ arenon-zero constant vectors and the scalar $b$ is chosen such that $∣ r + b s ∣$ is minimum, then the value of $∣ b s ∣^{2} + ∣ r + b s ∣^{2}$ is equal to

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Solution:

For minimum value $∣ r + b s ∣ = 0$ . Let $r$ and $s$ are anti-parallel so $b s = - r$ $∴ ∣ b s ∣^{2} + ∣ r + b s ∣^{2} = ∣ - r ∣^{2} + ∣ r - r ∣^{2} = ∣ r ∣^{2}$

Stream:BITSATSubject:MathematicsTopic:VectorSubtopic:General definitions, Angle between vectors, Section formula, Geometrical results

⏱ 2mℹ️ Source: PYQ_2020

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