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

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

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.

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

Show that each of the following triads of vectors are coplanar: vec a=-4hat i-6hat j-2hat k,vec b=-hat i+4hat j+3hat k,vec c=-8hat i-hat j+3hat k

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

Show that the points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 hat k) and C(7 hat i-3 hat k) are collinear.

Find a unit vector parallel to the vector 3 hat i +7 hat j + 4 hat k .