TS EAMCET · Maths · Vector Algebra
Let the vectors \(\overline{A B}=2 \hat{i}+2 \hat{j}+\hat{k}\) and \(\overline{A C}=2 \hat{i}+4 \hat{j}+4 \hat{k}\) be two sides of a triangle \(A B C\). If \(G\) is the centroid of \(\triangle A B C\), then \(\frac{22}{7}(\overline{A G})^2+5=\)
- A 25
- B 38
- C 47
- D 52
Answer & Solution
Correct Answer
(B) 38
Step-by-step Solution
Detailed explanation
Given vectors are \(\overrightarrow{\mathrm{AB}}=2 \hat{i}+2 \hat{j}+\hat{k}\) and \(\overrightarrow{\mathrm{AC}}=2 \hat{i}+4 \hat{j}+4 \hat{k}\) Centroid \(\mathrm{G}\) of triangle has position vector \(\overrightarrow{\mathrm{AG}}\) can be obtained by putting A as…
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