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12). Show that the vector hat i+ hat j...

12). Show that the vector ` hat i+ hat j+ hat k` is equally inclined with the coordinate axes. (13)show that the vectors `veca=1/7(2hati+3hatj+6hatk),vecb=1/7(3hati-6hatj+2hatk),vecc=1/7(6hati+2hatj-3hatk)` are mutually perpendicular unit vectors.

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Show that the vectors 1/7(2hati+3hatj+6hatk), 1/7 (3hati-6hatj+2hatk) and 1/7 (6hati+2hatj-3hatk) are mutually perpendicular.

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