Add vectors A, B and C each having magnitude of 100 unit and inclined to the x-axis at angles 45º, 135º and 315º respectively.
Text Solution
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First, we will find the components of the vector along the
-axis and
-axis. Then we will find the resultant
and
-components.







Now, y-component of
y-component of
-component of
Resultant
-component

Magnitude of the resultant 

Angle made by the resultant vector with the
-axis is given by



The magnitude of the resultant vector is 100 units and it makes an angle of
with the
-axis.
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