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Let vecp=2hati+3hatj+hatkandvecq=hati+2h...

Let `vecp=2hati+3hatj+hatkandvecq=hati+2hatj+hatk` be two vectors .If a vector `vecr=(alphahati+betahatj+gammahatk)` is prependicular to each of the vectors `(vecp+vecq)and(vecp-vecq),and|vecr|=sqrt(3)` , then `|alpha|+|beta|+|gamma|` is equal to ____.

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