Vector A has a magnitude of 23 units and points in the positive y-direction. W

Physics
Tutor: None Selected Time limit: 1 Day

Vector 

A
 has a magnitude of 23 units and points in the positive y-direction. When vector 
B
 is added to 
A,
 the resultant vector 
A + B
points in the negative y-direction with a magnitude of 11 units. Find the magnitude and direction of 
B?
May 28th, 2015

the magnitude is sqrt(23^2+11^2)

=sqrt(650)

=25.5 units

the direction is -(180-tan^(-1)(y/x))

tan^(-1) (y/x)= tan^(-1) (23/11)=64.4 degrees

hence the is -(180-64.4)

=-115.6 degrees.

note: the angle is created by the vector and horizontal line. the angle should lie between -180 and 180

May 28th, 2015

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May 28th, 2015
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