The resultant of two vector `vec A&vec B` is `vec C` .If direction of `vec B` is reversed the resultant is `vec D` .Then the correct relation is

If vec(A) and vec(B) are two vectors, then the correct relation is :

The resultant vector of vec(P) and vec(Q) is vec(R ) . On reversing the direction of vec(Q) the resultant vector becomes vec(S) . Show that R^(2)+S^(2)=2(P^(2)+Q^(2))

If vec(A), vec(B) and vec(C ) are three vectors, then the wrong relation is :

The resultant of two vectors vec(A) and vec(B) is perpendicular to the vector vec(A) and its magnitudes is equal to half of the magnitudes of vector vec(B) (figure). The angle between vec(A) and vec(B) is

Write an expression for magnitude of the resultant vector .vec(R). of two vectors vec(A) and vec(B) acting at a point. When will this resultant vector .vec(R). be maximum ?

The resultant and dot product of two vectors vec(a) and vec(b) is equal to the magnitude of vec(a) . Show that when the vector vec(a) is doubled , the new resultant is perpendicular to vec(b) .

Two vectors vec(A) and vec(B) inclined at an angle theta have a resultant vec(R ) which makes an angle alpha with vec(A) . If the directions of vec(A) and vec(B) are interchanged, the resultant will have the same

Two vectors vec(A) and vec(B) inclined at an angle theta have a resultant vec(R ) which makes an angle alpha with vec(A) . If the directions of vec(A) and vec(B) are interchanged, the resultant will have the same

Show that the vectors vec a , vec b and vec c are coplanar if vec a+ vec b , vec b+ vec c and vec c+ vec a are coplanar.

The non-zero vectors are vec a,vec b and vec c are related by vec a= 8vec b and vec c = -7vec b . Then the angle between vec a and vec c is