Vector A has a magnitude of 10 and points in the positive x-direction. Vector B has a magnitude of 15 and make an angle of 34 degrees with the positive x-axis. What is the magnitude of A - B?

1 Answer
Trevor Ryan.
Apr 24, 2016

8.7343 units.

Explanation:

A-B=A+(-B)

=10/_0^@-15/_34^@

=sqrt((10-15cos34^@)^2+(15sin34^@)^2)/_tan^(-1)((-15sin34^@)/(10-15cos34^@))

=8.7343/_73.808^@.

Hence the magnitude only is 8.7343 units.

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