A vector has a component along the X-axis equal to 25 unit and along y-axis to 60 unit.find the magnitude and direction of the vector.
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Answer:The given vector is the resultant of two perpendicular vectors, one along the X-axis of magnitude 25 unit nd the other long the Y-axis of magnitude 60 units. The resultant has a magnitude A given by A=(25−−√2+(60)2+2×25×60cos900)
=(25)2+(602))=65 ltbr.
The angle alpha between this vector and the X-axis is given by tanα=60/25
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