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Mathematics
Mathematics
Problem
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 is: a. 0 b. 1 c.
±
2
\pm\sqrt{2}
±
2
d. 3
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