Question

Write vector t, with magnitude 14 and direction 51 degrees, in component form.

Answer 1

A. <8.8, 10.9>
B. <10.9, 8.8>
C. <-8.8, -10.9>
D. <-10.8, -8.8>

Answer 2

Without any calculations:
0<45<51<90, so we know both x,y components are positive (because the angle is between 0 and 90), and since 51>45, the y component will be the biggest.
Only one satisfies, A.

Answer 3

Wow, that is a very smart method! Thanks!