Most vaccines protect only against pathogens that fall within a certain region i

Question

Most vaccines protect only against pathogens that fall within a certain region in antigenic space. Suppose that a vaccine protects against any strain falling within a sphere with equation, (x-2)2 + (y-3)24(z-1)2=1 in antigenic space. Identify which of the following strains, located in antigenic space, this vaccine will be effective against. A. A strain located at (1.5,2.5,1) in antigenic space. B. A strain located at (0,0,0) in antigenic space. C. A strain located at (1,1,0) in antigenic space. D. A strain located at (1,3.5,0.5) in antigenic space.

Explanation / Answer

The correct answer is A. Because

(1.5-2)^2+(2.5-3)^2+(1-1)^2 = 0.25+0.25=0.5<1 , SO this point will lie in the sphere.

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