Question:medium

If $a$, $b$, $c$ are the position vectors of $A$, $B$, $C$ respectively such that $3\mathbf{a} + 4\mathbf{b} - 7\mathbf{c} = \mathbf{0}$, then $C$ divides $AB$ in the ratio

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Section formula: $\mathbf{c} = \dfrac{n\mathbf{a}+m\mathbf{b}}{m+n}$ means $C$ divides $AB$ internally in ratio $m:n$ (coefficient of $\mathbf{b}$ : coefficient of $\mathbf{a}$).
Updated On: Apr 8, 2026
  • 4:3
  • 4:7
  • 3:7
  • 3:4
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The Correct Option is A

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