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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.

Show that vectors veca= 2hati+3hatj+6hatk, vecb= 3hati -6hatj+2hatk and vecc=6hati+2hatj-3hatk are mutually perpendicular.

Show that the vectors veca=2hati+3hatj+6hatk,vecb=6hati+2hatj-3hatk, " ""and"" "vecc=3hati-6hatj+2hatk , are mutually orthogonal.

Show that each of the given three vectors is a unit vector : 1/7(2hati+3hatj+6hatk),1/7(3hati-6hatj+2hatk),1/7(6hati+2hatj-3hatk) . Also, show that they are mutually perpendicular to each other.

Show that each of the following three vectors is a unit vector 1/7 (2hati+3hatj+6hatk), 1/7(3hati-6hatj+2hatk).1/7(6hati_2hatj-3hatk) . Also show that they are mutually perpendicular to each other.

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj--7hatk .

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj--7hatk .

Show that vectors oversetrarra =2hati + 3hatj + 6hatk , oversetrarrb = 3hati -6hatj + 2hatk and oversetrarrc = 6hati + 2hatj - 3hatk are mutually perpenducalar.

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj-7hatk .

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj-7hatk .