Find the volume of a parallelepiped having three vectors of equal magnitude `| vec a|` and equal inclination `theta` with each other.

Find the volume of a parallelopiped having three coterminus vectors of equal magnitude |a| and equal inclination theta with each other.

Find the vector of magnitude 9 which is equally inclined to the coordinates axes.

The vector of magnitude 6 which is equally inclined to the co-ordinate axes is

Let vec(a), vec(b), vec(c ) be three mutually perpendicular vectors of the same magnitude and equally inclined at an angle theta, with the vector vec(a) + vec(b) + vec(c ) . The 36 cos^(2) 2 theta is equal to __________ .

If vec a,vec b,vec c are three mutually perpendicular vectors of equal magniltgude,prove that vec a+vec b+vec c is equally inclined with vectors vec a,vec b, and vec r also find the angle.

If vec a and vec b are vectors of equal magnitude, write the value of (vec a+vec b)vec a-vec b

If vec a,vec b,vec c are mutually perpendicular vectors of equal magnitude,show the vectors vec a+vec b+vec c is equally inclined to vec a,vec b and vec c.

There are two vectors of equal magnitudes. When these vectors are added, then magnitude of the resultant is also equal to the magnitude of each of the two given vectors. Angle between the vectors is