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Question

Mathematics Question on Vector Algebra

The centre and radius of the sphere 2r=(Jij+4k)=4|2\vec{r}=(J\vec{i}-\vec{j}+4\vec{k})|=4 are __________

A

(32,12,2)  and  4(-\frac{3}{2},\frac{1}{2},-2)\space and\space4

B

(32,12,2)  and  2(-\frac{3}{2},\frac{1}{2},-2)\space and\space2

C

(32,12,2)  and  6(-\frac{3}{2},\frac{1}{2},-2)\space and\space6

D

(32,12,2)  and  5(-\frac{3}{2},\frac{1}{2},-2)\space and\space5

Answer

(32,12,2)  and  2(-\frac{3}{2},\frac{1}{2},-2)\space and\space2

Explanation

Solution

The correct option is (B): (32,12,2)  and  2(-\frac{3}{2},\frac{1}{2},-2)\space and\space2