Three vectors of magnitude `a ,2a ,3a` meet in a point and their directions are along the diagonals of the adjacent faces of a cube. Determine their resultant.

Three coinitial vectors of magnitudes a, 2a and 3a meet at a point and their directions are along the diagonals if three adjacent faces if a cube. Determined their resultant R. Also prove that the sum of the three vectors determinate by the diagonals of three adjacent faces of a cube passing through the same corner, the vectors being directed from the corner, is twice the vector determined by the diagonal of the cube.

Three vector each of magnitude A are acting at a point such that angle between any two consecuitve vectors in same plane is 60^(@) The magniude of their resultant is

Write a vector of magnitude of 18 units in the direction of the vector hati-2hatj-2hatk .

There are n coplanar vectors each of magnitude m and each vector is inclined to the preceeding vector at an angle 2pi//n . Then the magnitude of their resultant is

Write a vector of magnitude 9 units in the direction of vector -2 hat i+ hat j+2 hat k

Two vectors of equal magnitude are acting through a point. The magnitude of resultant is equal to the magnitude of either vectoe. Find the angle between the vectors.

Three forces of magnitudes 2N, 3N and 6N act at corners of a cube along three sides as shown in figure. Find the resultant of these forces in N.

Two vectors having equal magnitudes A make an angle theta with eahc other. Find the magnitude and direction of the resultant.

Two vectors having equal magnitudes A make an angle theta with each other. Find the magnitude and direction of the resultant.

Write a vector of magnitude of 18 units in the direction of the vector hat(i) - 2 hat (j) - 2 hat (k) .