Question

The two vectors shown in Fig. 3.21 lie in an xy plane. What are the signs of the x and y components, respectively, of

1. x positive, y positive
2. x positive, y negative
3. x negative, y positive
4. x negative, y negative

Answer 1

Question Details

DIAGRAM EDITOR NOT SHOWING UP PROPERLY

IGNORE THE INNER UN NAMED ARROW LINE

The two vectors shown in Fig. 3.21 lie in a xy plane. What are the signs of the x and y components, respectively, of

1. x positive, y positive
2. x positive, y negative
3. x negative, y positive
4. x negative, y negative

IT IS NOT CLEAR IN WHICH FORM YOU WANT THE ANSWER

Anyway, I AM ANSWERING BELOW, AND YOU CHOOSE WHATEVER METHOD YOU WANT TO SHOW.

D1=OP ........ -D1=OP'

D2=PQ = P'R ....... - D2 = PQ'

D1+D2=OQ ......X COMPONENT = OB ..IS NEGATIVE...AND....Y COMPONENT= BQ IS POSITIVE

D1-D2=OQ' ......X COMPONENT = OA ..IS NEGATIVE...AND....Y COMPONENT= AQ' IS NEGATIVE

D2-D1=OR ......X COMPONENT = OC ..IS POSITIVE...AND....Y COMPONENT= RC IS POSITIVE