Show that the vector ` hat i+ hat j+ hat k` is equally inclined to the axes OX, OY and OZ.

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

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

The units vectors orthogonal to the vector - hat i + 2hat j + 2hat k and making equal angles with the X and Y axes islare) :

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

Unit vector along the vector hat(i) + hat(j) + hat(k) is

Show that the vectors 2 hat i- hat j+ hat k , hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k form the vertices of a right angled triangle.

Show that the vector 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k ,\ 3 hat i-4 hat j-4 hat k form the sides of a rights angled triangle.

Show that the vectors veca= hat i-2 hat j+3 hat k , vecb=-2 hat i+3 hat j-4 hat ka n d vec c= hat i-3 hat j+5 hat k are coplanar.

Show that the vectors 2 hat i-3 hat j+4 hat k and -4 hat i+6 hat j-8 hat k are collinear.

Show that the vectors vec a=-2 hat i-2 hat j+4 hat k ,\ vec b=-2 hat i+4 hat j-2 hat k\ a n d\ vec c=4 hat i-2 hat j-2 hat k are coplanar.