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AP EAMCET · Maths · Vector Algebra

Let \(A B C\) be a triangle. Let \(u=\overrightarrow{A B}\) and \(v=\overrightarrow{A C}\). If \(D\) is a middle point of \(B C\), then the median of \(\triangle A B D\) through the vertex \(B\) has the length

  1. A \(\frac{|\boldsymbol{u}-3 v|}{2}\)
  2. B \(\frac{|v-3 u|}{2}\)
  3. C \(\frac{|u-3 v|}{4}\)
  4. D \(\frac{|v-3 u|}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{|v-3 u|}{2}\)

Step-by-step Solution

Detailed explanation

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