Magnitude of resultant of two vector `vec(A)` and `vec(B)` is equal to 2. angle between two vectors is `180^(@)` if `|vec(A)|=3` then find `|vec(B)|`

Two vector vec(A) and vec(B) have equal magnitudes. Then the vector vec(A) + vec(B) is perpendicular :

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) .

The resultant of two velocity vectors vec(A) and vec(B) is perpendicular to vec(A) . Magnitude of Resultant vec(R ) is equal to half magnitude of vec(B) . If the angle between vec(A) and vec(B) is (30 theta)^(@) , then value of theta is ?

If |vec a|=10, and |vec b|=2 and vec a* vec b =12 , find angle between the two vectors

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

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