Find the angles at which the following vectors are inclined to each of the coordinate axes: `4 hat i+8 hat j+ hat k`

Find the angles at which the following vectors are inclined to each of the coordinate axes: hat j- hat k

Find the angles at which the following vectors are inclined to each of the coordinate axes: hat i- hat j+ hat k

Find the angles at which the following vectors are inclined to each of the coordinate axes: hat i- hat j+ hat k hat j- hat k 4 hat i+8 hat j+ hat k

Find the angles at which the vector 2 hat i- hat j+2 hat k is inclined to each of the coordinate axes.

Find the angles which the vector vec a= hat i- hat j+sqrt(2) hat k makes with the coordinate axes.

Find the angles which the vector vec a= hat i- hat j+sqrt(2) hat k makes with the coordinate axes.

Prove that the following vectors are coplanar: hat i+ hat j+ hat k ,\ 2 hat i+3 hat j- hat k\ a n d- hat i-2 hat j+2 hat k

Show that each of the following triads of vectors are coplanar: vec a= hat i+2 hat j- hat k , vec b=3 hat i+2 hat j+7 hat k , vec c=5 hat i+6 hat j+5 hat k vec a=-4 hat i-6 hat j-2 hat k , vec b=- hat i+4 hat j+3 hat k , vec c=-8 hat i- hat j+3 hat k hat a= hat i-2 hat j+3 hat k , vec b=-2 hat i+3 hat j-4 hat k , vec c= hat i-3 hat j+5 hat k

Show that the vector hat i+ hat j+ hat k is equally inclined with the coordinate axes.

Find the direction cosines of the following vectors: 2 hat i+2 hat j- hat k 6 hat i-2 hat j-3 hat k 3 hat i-4 hat k