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Determine that vector which when added t...

Determine that vector which when added to the resultant of `vecP=2hati+7hatj-10hatk` and `vecQ=hati+2hatj+3hatk` gives a unit vector along X-axis.

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Resultant `vecR=vecP+vecQ=(2hati+7hatj-10hatk)+(hati+2hatj+3hatk)=3hati+9hatj-7hatk`
But `vecR+"required vector"=hati` or required vector `=hati=vecR=hati-(3i+9hatj-7hatk)=-2hati-9hatj+7hatk`
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