If \(\bar a\) = 3i + j + 2k,
(i) Find the magnitude of \(\bar a\).
(ii) If the projection of \(\bar a\) on another vector \(\bar b\) is \(\sqrt{14}\), which among the following could be \(\bar b\) ?
(a) i + j + k
(b) 6i + 2j + 4k
(c) 3i – j + 2k
(d) 2i + 3j + k
(iii) If \(\bar a\) makes an angle 60° with a vector \(\bar c\), find the projection of \(\bar a\) on \(\bar c\)