please answer the following

I give an example below

Please follow the method of the example

thank you

1)

Given:

d1= 4cm E

d2= 5cm 40 NE

d3= 3.5cm N

2)

Given:

d1= 5cm W

d2= 5cm 45 SW

d3= 3.5cm S

Example 2: An ant crawls on a table top. It moves 2cm as = 2.5 cm N East, turns 3 cm 40 Northeast and finally moves 2.5 cm North. What is the ant's total displacement? di = 3 cm 40 NE Given: d1 = 2 cm E W 8 = 40 NE . E d2 = 3 cm 40 NE dr = 2 on E d3 = 2.5 cm N Figure 9: Graph of vectors 1,2 and 3 Find: Ant's total displacement or resultant vector(dR) For this case, there are three vectors given and it is necessary to get the x and y component of d2 = 3 cm 40 NE. Solving for the y - component Solving for the x - component day sin 0 = b cos 0 = a 40 sin 0 = dax cos 0 = dax d2 d2 2x day = (dz) (sin 40) d2x = (dz) (cos 40) = (3cm) (0.64) = (3cm) (0.77) day = 1.92 cm dzx = 2.31 cm We can use the table below to show the components of the vector. Vector dx dy di = 2 cm E 2 cm 0 d2 = 3 cm 40 NE 2.31 cm 1.92 cm d3 = 2.5 cm N 0 2.50 cm Edx = 4.31 cm Edy = 4.42 cm Use the Pythagorean theorem to solve for the To solve for the direction, 8 magnitude of the resultant. tan 0 = b (dR) = (Edx) + (Edy)? a = 4.42 cm = V (4.31 cm)2 + (4.42 cm)2 4.31 cm tan 8 = 1.03 dR = V 18.58 cm2 + 19.54 cm2 8 = 45.850 = 1 38.12 cm2 dR = 6.17 cm Therefore, the resultant displacement is 6.17 cm 45.850NE