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If vecb is not perpendicular to vecc . T...

If `vecb` is not perpendicular to `vecc` . Then find the vector `vecr` satisfying the equation `vecr xx vecb = veca xx vecb and vecr. vecc=0`

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Given `vecrxxvecb=vecaxxvecbRightarrow (vecr-veca)xxvecb=0`
Hence, (`vecr - veca) and vecb` are parallel.
`Rightarrow vecr-veca=tvecb`
`vecr.vecc=0`
Therefore, taking dot product of (i) by `vecc`, we get `vecr.vecc -veca.vecc=t(vecb .vecc)`
`or 0-veca.vecc=r(vecb.vecc)ort=-((veca.vecc)/(vecb.vecc))`
from (i) and (ii) solution of `vecr" is " vecr =veca-((veca.vecc)/(vecb.vecc))vecb`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
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  7. Let veca vecb and vecc be pairwise mutually perpendicular vectors, suc...

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  18. Find |veca|and|vecb|, if (veca+vecb)*(veca-vecb)=8and|veca|=8|vecb|.

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