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Mathematics
Mathematics
Problem
Let
α
=
a
i
^
+
b
j
^
+
c
k
^
\alpha = a\hat{i} + b\hat{j} + c\hat{k}
α
=
a
i
^
+
b
j
^
+
c
k
^
,
β
=
b
i
^
+
c
j
^
+
a
k
^
\beta = b\hat{i} + c\hat{j} + a\hat{k}
β
=
b
i
^
+
c
j
^
+
a
k
^
and
γ
=
c
i
^
+
a
j
^
+
b
k
^
\gamma = c\hat{i} + a\hat{j} + b\hat{k}
γ
=
c
i
^
+
a
j
^
+
b
k
^
be three coplanar vectors with
a
≠
b
a \neq b
a
=
b
and
v
=
i
^
+
j
^
+
k
^
\mathbf{v} = \hat{i} + \hat{j} + \hat{k}
v
=
i
^
+
j
^
+
k
^
. Then
v
\mathbf{v}
v
is perpendicular to a.
α
\alpha
α
b.
β
\beta
β
c.
γ
\gamma
γ
d. None of these
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