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Mathematics
Mathematics
Problem
Let
u
=
i
^
+
j
^
\mathbf{u} = \hat{i} + \hat{j}
u
=
i
^
+
j
^
,
v
=
i
^
−
j
^
\mathbf{v} = \hat{i} - \hat{j}
v
=
i
^
−
j
^
and
w
=
i
^
+
2
j
^
+
3
k
^
\mathbf{w} = \hat{i} + 2\hat{j} + 3\hat{k}
w
=
i
^
+
2
j
^
+
3
k
^
. If
n
\mathbf{n}
n
is a unit vector such that
u
⋅
n
=
0
\mathbf{u} \cdot \mathbf{n} = 0
u
⋅
n
=
0
and
v
⋅
n
=
0
\mathbf{v} \cdot \mathbf{n} = 0
v
⋅
n
=
0
, then
∣
w
⋅
n
∣
|\mathbf{w} \cdot \mathbf{n}|
∣
w
⋅
n
∣
is equal to a. 0 b. 1 c. 2 d. 3
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