" 1) "vec a=(1)/(7)(2hat imath+3hat jmath+6hat k&vec b=(1)/(7)(3hat imath-6hat jmath+2hat k

The vector 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) form

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.

Show that the vector 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.

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.

Given 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),hat i,hat j,hat k being a right handed orthogonal system of unit vectors in space,show that vec a,vec b and vec c is also another system.

1fvec a=(hat i-3hat j-5hat k),vec b=(-3hat i+2hat j+7hat k),vec c=(2hat i-hat j+hat k) then find (vec a+vec b+vec c)

Show that each of the following triads of vectors are coplanar: vec a=hat i+2hat j-hat k,vec b=3hat i+2hat j+7hat k,vec c=5hat i+6hat j+5hat k

Find the sum of vectors vec a=hat i-2hat j+hat k,vec b=-2hat i+4hat j+5hat k and vec c=hat i-6hat j-7hat k

Find the sum of the vectors vec a=hat i-2hat j+hat k,vec b=-2hat i+4hat j+5hat k and vec c=hat i-6hat j-7hat k