Vector A→ is 2 cm long and is 60o above the x-axis in the first quadrant. Vector B→ is 2 cm long and is 60o below the x-axis in the fourth quadrant. The sum A→ + B→ is a vector of magnitude
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a
2 cm along positive y-axis
b
2 cm along positive x-axis
c
2 cm along negative y-axis
d
2 cm along negative x-axis
answer is B.
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Detailed Solution
Here the angle between two vectors of equal magnitude is 120. So resultant has the same magnitude as either of the given vectors. Moreover, it is mid-way between the two vectors, i.e., it is along x-axis
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Vector A→ is 2 cm long and is 60o above the x-axis in the first quadrant. Vector B→ is 2 cm long and is 60o below the x-axis in the fourth quadrant. The sum A→ + B→ is a vector of magnitude