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Q.

3i¯2j¯k¯,2i¯j¯+3k¯ and i¯+3j¯2k¯ are the position vectors of the vertices A,B and C of a ABC respectivily. If H its Orthocentre .Then HA¯+HB¯+HC¯=

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a

0¯

b

2SA¯

c

i¯+j¯+k¯

d

2AB¯

answer is B.

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Detailed Solution

3i¯2j¯k¯,2i¯j¯+3k¯ and i¯+3j¯2k¯ represents vertices of equilatral triangle then,

orthocenter = centroid then

H=0,0,0

HA¯+HB¯+HC¯=0¯

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