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Show that the vector i+j+k is equally in...

Show that the vector `i+j+k` is equally inclined with the axes `O X ,\ O Y\ a n d\ O Zdot`

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12).Show that the vector hat i+hat j+hat k is equally inclined with the coordinate axes.( 13 show that the vectors vec a=(1)/(7)(2hat i+3hat j+6hat k),vec b=(1)/(7)(3hat i-6hat j+2hat k),vec c=(1)/(7)(6hat i+2hat j-3hat k) are mutually perpendicular unit vectors.