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Mathematics
Mathematics
Problem
Find the angle between the line
r
=
i
^
+
2
j
^
−
k
^
+
λ
(
i
^
−
j
^
+
k
^
)
r = \hat{i} + 2\hat{j} - \hat{k} + \lambda(\hat{i} - \hat{j} + \hat{k})
r
=
i
^
+
2
j
^
−
k
^
+
λ
(
i
^
−
j
^
+
k
^
)
and the plane
r
⋅
(
2
i
^
−
j
^
+
k
^
)
=
4
r \cdot (2\hat{i} - \hat{j} + \hat{k}) = 4
r
⋅
(
2
i
^
−
j
^
+
k
^
)
=
4
.
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