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Compute the magnitude of the following v...

Compute the magnitude of the following vectors : `a = hat(i)+hat(j)+hat(k),b=2hat(i)-7hat(j)-3hat(k),c=(1)/(sqrt(3))hat(i)+(1)/(sqrt(3))hat(j)-(1)/(sqrt(3))hat(k)`.

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The correct Answer is:
`|veca|=sqrt(3),|vecb|=sqrt(62),|vecc|=1`
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