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Mathematics
Problem
Let
a
⃗
=
i
^
−
j
^
\vec{a} = \hat{i} - \hat{j}
a
=
i
^
−
j
^
,
b
⃗
=
i
^
+
j
^
+
k
^
\vec{b} = \hat{i} + \hat{j} + \hat{k}
b
=
i
^
+
j
^
+
k
^
and
c
⃗
\vec{c}
c
be a vector such that
a
⃗
×
c
⃗
+
b
⃗
=
0
⃗
\vec{a} \times \vec{c} + \vec{b} = \vec{0}
a
×
c
+
b
=
0
and
a
⃗
⋅
c
⃗
=
4
\vec{a} \cdot \vec{c} = 4
a
⋅
c
=
4
, then
∣
c
⃗
∣
2
|\vec{c}|^2
∣
c
∣
2
is equal to : [JEE-MAIN ONLINE-2019] (1)
19
2
\frac{19}{2}
2
19
(2) 8 (3)
17
2
\frac{17}{2}
2
17
(4) 9
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