Can you please help answer these questions they have to do with vectors

i have given an example on how to do it properly from the notes i was given

• Break each vector down into its vector components and determine the value for each of the components.
• Add the vertical(y) components to find the vertical(y) component of the resultant vector.
• Add the horizontal(y) components to find the horizontal(x) component of theresultant vector.
• Combine the vertical and horizontal components of the resultant vector using a vector diagram. Their sum will equal to the resultant vector.

Example 1: Find the resultant vector of the following: 20m [E45N] +25m [E60S] +15m [W30 S]

Lets break each vector down into an x component and a y component:

20m(E45degreesN)

x component y component

20 cos (45) (E) 20 sin (45) (N)

14.14m (E) 14.14 m (N)

25m (E60degreesS)

x component y component

25 cos(30) (W) 15 sin (30) (S)

12.99m (W) 7.5 m (S)

sum of the components: 13.65m (E) Sum of the y components: 15.01

The magnitude of R can be found using the Pythagorean theorum: R=20.3 m

The direction of R can be found uisng Soh Cah Toa: 0=48 degrees

R= 20.3m (E48S)

1. Vector V corresponds to a velocity of 100 km/h; West. The value of 0.5V would be;

Select one:

a. 50 km/h

b. 50 km

c. 50 km/h; W

d. all of the above are correct.

2. The vector sum ( d_R = d₁ + d₂ + d₃ ) of the following displacements has a value of: d₁ = 10 km; East d₂ = 10 km; North d₂ = 20 km; South

Select one:

a. 14.1 km; 45^oS of E

b. 40 km

c. 14.1 km; 45^o N of E

d. 40 km; 45^oS of E

3.If vector ( C = 2.0 cm ; N ) and vector (D = 1.0 cm ; E ) then ( D - C = ? ) explain in full detail how you got your answer including the units of all calculations

4.Which of the statements below includes an example of a vector quantity?

Select one:

a. Canada's border with the United States is located at 49^o North Latitude.

b. To travel to Edmonton from Saskatoon you have to travel approximately 500 km in a North Westerly direction.

c. The speed limit on highways in Saskatchewan is 100 km/h.

d. The average mass of a human being is 75 Kg.

5.If Vector A = 2.8 cm 45^o North of East and Vector B = 2.8 cm45^o North of West. Find the resultant vector of A + B. Answer in full detail how you got your answer including all the units of your calculations

6.From the two vectors (A and B) shown, choose the resultant vector(R) which best describes the following vector equation: A - B = R

A - BER B A R