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Q.

Two vectors have magnitudes 6 units and 8 units, respectively. Find magnitude of resultant of two vectors if angle between two vectors is 180°

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a

9 units

b

8 units

c

6 units

d

2 units

answer is D.

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Detailed Solution

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 180 degree:Then |A+B|=62+82+(2)(6)(8)cos(180)=100-96( since cos(180) =-1)=2 units
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