Let \overline{ {\OA}}=2 \overline{ {\i}}-3 \overline{ {\j}}+\overline{ {\k}}, \overline{ {\OB}}=\overline{ {\i}}-4 \overline{ {\j}}-3 \overline{ {\k}} and \overline{ {\OC}}=-3 \overline{ {\i}}+\overline{ {\j}}+2 \overline{ {\k}} be the position vectors of three points A, B, C respectively. If G is the centroid of triangle A B C, then {\BC}^2+ {\CA}^2+ {\AB}^2+9( {\OG})^2=

AP EAPCET 15th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 33 of 160

Marks: +1, -0

Let OA=2i−3j+k,OB=i−4j−3k and OC=−3i+j+2k be the position vectors of three points A,B,C respectively. If G is the centroid of triangle ABC, then BC2+CA2+AB2+9(OG)2=

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