Mathematics · 2014
JEE Main · 12 April 2014, Shift 1 · Q85
If x, y and z are three unit vectors in three-dimensional space, then the minimum value of | x + y |^2+| y + z |^2+| z + x |^2 is:
If $\displaystyle \hat{x}, \hat{y}$ and $\displaystyle \hat{z}$ are three unit vectors in three-dimensional space, then the minimum value of
$$|\hat{x}+\hat{y}|^2+|\hat{y}+\hat{z}|^2+|\hat{z}+\hat{x}|^2 \text { is }:
$$
Official answer
(2)
$\displaystyle 3$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.