Q.

If a→,b→,c→,d→ are non - zero coplanar vectors and 2x1a→+2x2b→−c→+3x3d→=0 then

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a

x12+x22+x32≥12

b

x12+x22+x32≥117

c

x12+x22+x32≥120

d

x12+x22+x32≥134

answer is B.

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Detailed Solution

2x1+2x2+3x3=1∴2x1+2x2+3x3≤4+4+9x12+x22+x32⇒x12+x22+x32≥117
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If a→,b→,c→,d→ are non - zero coplanar vectors and 2x1a→+2x2b→−c→+3x3d→=0 then