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Let alpha in R and the three vectors a...

Let `alpha in R` and the three vectors
`a=alpha hat(i) + hat(j) +3hat(k)` , `b=2hat(i) +hat(j) -alpha hat(k)`
and `c= alpha hat(i) -2hat(j) +3hat(k)` . Then the set
`S={alpha: a,b " and c are coplanar"}`

A

Contains exactly two positive numbers

B

Is empty

C

Contains exactly two numbers only one of which is positive

D

Is singleton

Text Solution

Verified by Experts

The correct Answer is:
B
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