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Let ` vec a , vec b , a n d vec c` be three non-coplanar vectors and ` vec d` be a non-zero vector, which is perpendicular to `( vec a+ vec b+ vec c)dot` Now ` vec d=( vec axx vec b)sinx+( vec bxx vec c)cosy+2( vec cxx vec a)dotT h e n` a.`( vecd dot( vec a+ vec c))/([ vec a vec b vec c])=2` b.`( vecd dot( vec a+ vec c))/([ vec a vec b vec c])=-2` c. minimum value of `x^2+y^2` is `pi^2//4` d. minimum value of `x^2+y^2` is `5pi^2//4`

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