Question

If u= 4 and v=5, and the vectors make angles of 60 degrees and 80 degrees with the x-axis respectively, find the component for of the sum of u and v.

Answer 1

options are:.

(2.87, 8.39)

B.

(1.13, - 1.46)

C.

(4.33, 6.92)

D.

(2.60, - 2.92)

E.

(3.19, 8.27)

Answer 2

The given values of 4 and 5 are the magnitudes of the vectors u and v.
t1=angle of u with x-axis = 60 deg.
t2=angle of v with x-axis = 80 deg.

The x-component of the sum
= u cos(t1)+v cos(t2) = 4cos(60)+5cos(80)=2.86
The y-component of the sum
= u sin(t1)+v sin(t2) = 4sin(60)+5sin(80) = 8.39

So look for your choice of answer,

Answer 3

Thank you so much!

Answer 4

You're welcome!