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Let vecA and vecB be two non-parallel un...

Let `vecA and vecB` be two non-parallel unit vectors in a plane. If `(alpha vecA + vecB)` bisets the internal angle between `vecA and vecB` then find the value of `alpha`.

Text Solution

Verified by Experts

`vecA.(alphavecA+vecB)=vecB.(alphavecA+vecB)`
or `alpha+vecA.vecB=alphavecA.vecB+1`
`or (vecA.vecB)(1-alpha)= (1-alpha)`
since `vecA.vecBne 0 Rightarrowvecx`
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