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The resultant of two vectors $\vec{P} and \vec{Q} is \vec{R} .$ What happen to the new resultant vector is perpendicular to $\vec{P} \cdot \vec{R}, when \vec{Q}$ is doubled.

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P2−Q22PQ

p+Qp−Q

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detailed solution

Correct option is B

P→⋅(P→+2Q→)=0⇒P2+2PQcosθ=0cosθ=−P2Q ∴R=P2+Q2+2PQcosθ=Q

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The resultant of two vectors P→ and Q→ is R→. What happen to the new resultant vector is perpendicular to P→⋅R→, when Q→ is doubled.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The resultant of two vectors $\vec{P} and \vec{Q} is \vec{R} .$ What happen to the new resultant vector is perpendicular to $\vec{P} \cdot \vec{R}, when \vec{Q}$ is doubled.