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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. The magnitude of the vector is

A
65 unit
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B
55 unit
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C
45 unit
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D
85 unit
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Solution

The correct option is A 65 unit
The given vector is the resultant of two perpendicular vectos, one along the x-axis equal to 25 unit and the other along the y-axis equal to 60 unit.
The resultant has a magnitude given by
252+602+2×25×60×cos90
252+602=65 unit

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