Question:medium

If \[ (\vec a+\vec b)\perp \vec b \quad \text{and} \quad (\vec a+2\vec b)\perp \vec a, \] then

Show Hint

Whenever vectors are perpendicular, immediately apply the condition: \[ \vec u\cdot\vec v=0 \] and expand using distributive properties of the dot product.
Updated On: May 16, 2026
  • \(|\vec a|=2|\vec b|\)
  • \(|\vec a|=\sqrt2|\vec b|\)
  • \(2|\vec a|=|\vec b|\)
  • \(|\vec a|=|\vec b|\)
Show Solution

The Correct Option is B

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