A vector has component along the x-axis equal to 25unit and along the y-axis equal to 60unit. The magnitude of the vector is
A
65unit
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B
55unit
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C
45unit
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D
85unit
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Solution
The correct option is A65unit The given vector is the resultant of two perpendicular vectos, one along the x-axis equal to 25unit and the other along the y-axis equal to 60unit.
The resultant has a magnitude given by √252+602+2×25×60×cos90∘ ⇒√252+602=65unit