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Let alpha epsilon R and the three vector...

Let `alpha epsilon R` and the three vectors `veca=alpha hati+hatj+3hatk, vecb=2hati+hatj-alpha hatk` and `vecc=alpha hati-2hatj+3hatk`. Then the set `S={alpha: veca, vecb` and `vecc` are coplanat}:

A

Is singleton

B

Is empty

C

Contains exaclty two positive numbers

D

Contains exactlly two numbers only one of which is positive.

Text Solution

Verified by Experts

The correct Answer is:
B
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