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Question

A vector has component along the X-axis equal to 25 unit and along the Y-axis equal to 60 unit. Find the magnitude of the vector.

A
60
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B
65
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C
70
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D
75
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Solution

The correct option is B 65
The given vector is the resultant of two perpendicular vectors, one along the X-axis of magnitude 25 unit and the other along the Y-axis of magnitude 60 units.

Let the resultant has a magnitude A given by, A=252+602+2×25×60cos90
A=252+602=65

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