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 inclined to the axes OX, OY and OZ.

Find the angles at which the vector 2hat i-hat j+2tilde 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.

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

Find the values of lambda such that x,y,z!=(0,0,0)and(hat i+hat j+3hat k)x+(3hat i-3hat j+hat k)y+(-4hat i+5hat j)z=lambda(xhat i+yhat j+zhat k) where hat i,hat j,hat k are unit vector along coordinate axes.

Find the angles at which the following vectors are inclined to each of the coordinate axes: hat i-hat j+hat khat j-hat k4hat i+8hat j+hat k

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

The scalar product of the vector hat i+ hat j+ hat k with a unit vector along the sum of vector 2 hat i+4 hat j-5 hat k and lambda hat i+2 hat j+3 hat k is equal to one. Find the value of lambda .