AP EAMCET201920 Apr 2019Evening ShiftMathematicsVector AlgebraActual

If the vectors A B = i +3 j +4 k , A C =5 i + j +2 k are two sides of a triangle A B C , whose centroid is G , then | A G |=

Options

A2 3 22
B22
C1 3 22
D18

Correct answer

A. 2 3 22

Step-by-step solution

It the vectors A B = i +3 j +4 k and A C =5 i + j +2 k , then A G = ( i +3 j +4 k )+(5 i + j +2 k ) 3 , where G is the centroid of A B C . aligned & A G =2 i + 4 3 j +2 k & aligned | A G | & = 4+ 16 9 +4 = 8+ 16 9 = 72+16 9 & = 1 3 88 = 2 3 22 aligned aligned Hence, option (a) is correct.

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