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The resultant of two vectors vec(A) and vec(B) is perpendicular to vec(A) and equal to half of the magnitude of vec(B). Find the angle between vec(A) and vec(B) ?

Answer»

SOLUTION :Since `VEC(R)` is perpendicular to `vec(A)`. figure SHOWS the three vectors `vec(A), vec(B)` and `vec(R)` angle between `vec(A)` and `vec(B)` is p-q
`sin q = (R)/(B) = (B)/(2B) = (1)/(2)`
`rArr q = 30^(@) rArr` angle between A and B is `150^(@)`.


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