How Do You Solve Vector Equations with Given Values and Unknowns?

[NeomiXD]

Question:

Solve the following vector equations mathematically:

a) a + b
b) c- d
c) 2a -1/2b
d) a + c +b

Given:

a = 10m[R]
b = 20m[L]
c = 10m
d = 5m[D]

Solution:

a) 10m [R] - 20m [L] = 10m [L]

b) 10m - 5m [D] = 5m

c) 20m [R] - 10m [L] = 10m [R]

d) a + c +b
= 10m[R] + 10m +{-20m [L]}
= ?

Are my answers correct and how do you solve question d.

 

[jdroidxw]

B is wrong. If it was c+d you would minus them but you have the opposite: c-d so you add them.
Same with CD) Add the horizontals first A+B (answer to part a). Then add the 10 m to the horizontal. The answer (resultant) is the hypotenuse, construct a right triangle.