Let α ∈ R and three vectors $\vec a = \alpha \hat i + \hat j + 3\hat k,\;\vec b = 2\hat i + \hat j - \alpha \hat k,{\rm{\;and\;}}\vec c = \alpha \hat i - 2\hat j + 3\hat k$. Then the set $S = \left\{ {\alpha :\vec a,\;\vec b{\rm{\;and\;}}\vec c{\rm{\;are\;coplanar}}} \right\}$

Question

TuteeHUB · Accepted Answer

Contains exactly two positive numbers

TuteeHUB · Answer

Is singleton

TuteeHUB · Answer

Is empty

TuteeHUB · Answer

Contains exactly two numbers only one of which is positive

1.	Let α ∈ R and three vectors \(\vec a = \alpha \hat i + \hat j + 3\hat k,\;\vec b = 2\hat i + \hat j - \alpha \hat k,{\rm{\;and\;}}\vec c = \alpha \hat i - 2\hat j + 3\hat k\). Then the set \(S = \left\{ {\alpha :\vec a,\;\vec b{\rm{\;and\;}}\vec c{\rm{\;are\;coplanar}}} \right\}\)
A.	Is singleton
B.	Is empty
C.	Contains exactly two positive numbers
D.	Contains exactly two numbers only one of which is positive
Answer» C. Contains exactly two positive numbers

Let α ∈ R and three vectors \(\vec a = \alpha \hat i + \hat j + 3\hat k,\;\vec b = 2\hat i + \hat j - \alpha \hat k,{\rm{\;and\;}}\vec c = \alpha \hat i - 2\hat j + 3\hat k\). Then the set \(S = \left\{ {\alpha :\vec a,\;\vec b{\rm{\;and\;}}\vec c{\rm{\;are\;coplanar}}} \right\}\)

Discussion

No Comment Found

Related MCQs

Reply to Comment