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Grade 11Vectors

4] Two vectors having equal magnitudes A make an angle ? with each other. The magnitude and direction of the resultant are respectively: (a) 2Acos ? /2, along bisector (b) A cos ?/2, at 45 from one vector (c) A cos ?/2, along bisector (d) A sin ?/2, along bisector

Profile image of Anand Rananaware
15 Years agoGrade 11
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1 Answer

Profile image of Fawz Naim
15 Years ago

the resultant of the two vectors will lie along the bisctor

resultant R=sqr root(A^2+A^2+2.A.Acos?)

=sqr root(A^2+A^2+2A^2cos?)

=sqr root(2A^2+2A^2cos?)

=sqr root(2A^2[1+cos?])

=A*sqr root(2[2cos^?/2])

=A*2cos?/2

2Acos?/2. therefore option (a) is correct

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