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Two vectors have magnitudes 6 units and 8 units, respectively. Find magnitude of resultant of two vectors if angle between two vectors is 120°

a
48 units
b
52 units
c
58 units
d
60 units

detailed solution

Correct option is B

Magnitude of vector A=6 Units. Magnitude of vector B=8 units.Now resultant =|A+B| will be equal to A2+B2+2ABcos(θ)when angle between them is 120 degree:Then |A+B|=62+82+(2)(6)(8)cos(120)=100-48( since cos(120) = -1/2)=52 units

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