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Mathematics
Mathematics
Problem
10. If
a
⃗
=
2
i
^
+
2
j
^
+
3
k
^
,
b
⃗
=
−
i
^
+
2
j
^
+
k
^
\vec{a}=2 \hat{i}+2 \hat{j}+3 \hat{k}, \vec{b}=-\hat{i}+2 \hat{j}+\hat{k}
a
=
2
i
^
+
2
j
^
+
3
k
^
,
b
=
−
i
^
+
2
j
^
+
k
^
and
c
⃗
=
3
i
^
+
j
^
\vec{c}=3 \hat{i}+\hat{j}
c
=
3
i
^
+
j
^
are such that
a
⃗
+
λ
b
⃗
\vec{a}+\lambda \vec{b}
a
+
λ
b
is perpendicular to
c
⃗
\vec{c}
c
, then find the value of
λ
\lambda
λ
.
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