The resultant of two vectors A and B is perpendicular to A and its magnitude is half that of B. The angle between vectors A and B is .
150
Triangle law: A + B = R with R A and R = B2
[figure]
The triangle is right-angled at O with hypotenuse B, so = RB = 12, i.e. = 60 .
Thus B is turned 60 beyond R, which is itself at 90 to A.
= 90 + 60 = 150
Answer: 150
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