Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Find the number of distinct real values of
λ
\lambda
λ
, for which the vectors
−
λ
2
i
^
+
j
^
+
k
^
-\lambda^2\hat{i} + \hat{j} + \hat{k}
−
λ
2
i
^
+
j
^
+
k
^
,
i
^
−
λ
2
j
^
+
k
^
\hat{i} - \lambda^2\hat{j} + \hat{k}
i
^
−
λ
2
j
^
+
k
^
and
i
^
+
j
^
−
λ
2
k
^
\hat{i} + \hat{j} - \lambda^2\hat{k}
i
^
+
j
^
−
λ
2
k
^
are coplanar.
Browse the problem library