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Question

Vector A is of length 2 cm and is 60 above the x -axis in the first quadrant. Vector B is of length 2 cm and 60 below the x-axis in the fourth quadrant. The sum A+B is a vector of magnitude (cm).

A
2 along +y-axis
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B
2 along +x-axis
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C
1 along -x-axis
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D
2 along -x-axis
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Solution

The correct option is B 2 along +x-axis
Let us assume,
R=A+B
=(Acos60^i+Asin60^j)+(Bcos60^iBsin60^j)
|A|=|B|=2 cm
So, R=(Acos60+Bcos60)^i=2^i
Hence 2 cm along + x -axis

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