(adsbygoogle = window.adsbygoogle || []).push({}); 1. A grasshopper makes four jumps. THe siplacement vectors are (1) 27 cm, due west; (2) 23 cm, 35 degrees south of west; (3) 28 cm, 55 degrees south of east; and (4) 35 cm, 63 degrees north of east. Find the magnitude and direction of the resultant displacement. Express the direction with respect to due west

2. Relevant equations

I'm a litle confused with almost everything. I know how to draw the picture though.

3. The attempt at a solution

A= 27 cm

Angle A=180

B=23 cm

Angle B= 35 degres

C= 28 cm

Angle C= 55 degrees

D= 35 cm

Angle D= 63

Ax=Acos0a

= -116.6 cm

Bx=Bcos0b

= -20.8

Cx= -.67 cm

Dx=Dcos0d

=34.5 cm

Ay=Asin0A

= -21.63

By= -9.8 cm

Cy= -27.9 cm

Dy= 5.9 cm

Rx= ax + bx + cx + dx

=Rx= -2.23

Ry= ay+ by + cy + dy

Ry= -53.43 cm

R^2= rx^2 + ry^2

= 53. 48 cm

Angle R= ry/rx

=181.53 degres.

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# Homework Help: HOmework Help Please!: Addition of Vectors by Means of Components!

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