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Let veca=(lambda-2)veca+vecb and vecb...

Let `veca=(lambda-2)veca+vecb ` and `vecbeta=(4lambda-2)veca+3vecb` be two given vectors where vectors `veca and vecb` are non-collinear. The value of `|lambda|` for which vectors `vecalpha and vec beta` are collinear, is ________.

Text Solution

Verified by Experts

The correct Answer is:
4
`vecbeta=k vec alpha`
`therefore (4lambda-2)/(lambda-2)=(3)/(1)`
`4lambda-2=3lambda-6`
`lambda=-4`
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