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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 0°

a
12 units
b
13 units
c
14 units
d
15 units

detailed solution

Correct option is C

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 0 degree:Then |A+B|=62+82+(2)(6)(8)cos(0)=100+96 ( since cos(0)=1)=14 units

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