The vectors \( a, b \) and \( c \) are equal in length and taken pairwise, make equal angles. If....

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The vectors \( a, b \) and \( c \) are equal in length and taken pairwise, make equal angles. If \( a=i+j, b=j+k \)
\( \mathrm{P} \)
and \( c \) make an obtuse angle with the base vector \( i \),
W
then \( c \) is equal to
(1) \( i+k \)
(2) \( -i+4 j-k \)
(3) \( -\frac{1}{3} i+\frac{4}{3} j-\frac{1}{3} k \)
(4) \( \frac{1}{3} i+\frac{4}{3} j-\frac{1}{3} k \)


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