Question #2d7d4

1 Answer
Sep 20, 2017

The first vector vec(V_1) has a magnitude of 11.7 m and is angled 35.8° counterclockwise from the +x direction.

so vec(V_1)=11.7cos35.8hati+11.7sin35.8hatj

=>vec(V_1)=9.5hati+6.8hatj

The 2ndt vector vec(V_2) has a magnitude of16.5 m and is angled 13.0° counterclockwise from the -x direction.

so vec(V_2)=16.5cos193hati+16.5sin193hatj

=>vec(V_2)=-16.0hati-3.7hatj

So resultant vector

=>vec(V)=vec(V_1)+vec(V_2)=-7.5hati+3.1hatj

(a) so magnitude of resultant vector

=>abs(vec(V))=abs(-7.5hati+3.1hatj)=8.1m

(b) And the resultant makes an angle

tan^-1(-3.1/7.5)=157.5^@counter clockwise with +x axis