The vector `veca= 1/7 (2hati+ 3hatj + 6hatk), vecb=1/7(3hati-6hatj+2hatk), vecc=1/7(6hati+2hatj-3hatk)` form

Given veca=1/7(2hati+3hatj+6hatk) , vecb=1/7(3hati-6hatj+2hatk) , vecc=1/7(6hati+2hatj-3hatk) , hati,hatj,hatk being a right handed orthogonal system of unit vectors in space. Show that veca,vecb,vecc is also another such system.

Given veca=1/7 (2hati+3hatj+6hatk), vec= 1/7 (3hati-6hatj+2hatk) and vecc1/7(6hati+2hatj-3hatk) . Show that veca,vecb,vecc are of unit length mutually perpendicular and that vecaxxvecb=vecc .

Given veca=1/7 (2hati+3hatj+6hatk), vec= 1/7 (3hati-6hatj+2hatk) and vecc1/7(6hati+2hatj-3hatk) . Show that veca,vecb,vecc are of unit length mutually perpendicular and that vecaxxvecb=vecc .

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.

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 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 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 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.