1.

Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre of the sphere passing through the points O, A, B, C if OS=x, then

Answer»

X must be linear combination of a, b, C
x must be linear combination of `btimesc, ctimesa and ATIMESB`
`x=(a^(2)(btimesc)+b^(2)(ctimesa)+c^(2)(atimesb))/(2[a b c]), a=|a|, b=|b|. C=|c|`
`x=a+b+c`

ANSWER :A::B::C


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