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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

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

Grade:11

1 Answers

Fawz Naim
37 Points
10 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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