Question

I need someone to help me solve this

Answer 1

Answer:

see explanation

Step-by-step explanation:

Calculate C by adding corresponding components of A + B

C = $\left[\begin{array}{ccc}4\\-7.5\\\end{array}\right]$ + $\left[\begin{array}{ccc}-2.5\\5\\\end{array}\right]$

= $\left[\begin{array}{ccc}4-2.5\\-7.5+5\\\end{array}\right]$

= $\left[\begin{array}{ccc}1.5\\-2.5\\\end{array}\right]$

Answer 2

Answer:

Cₓ = -2.5 cm

Cᵧ = 5 cm

Step-by-step explanation:

Aₓ = 4

Aᵧ = -7.5

Bₓ = -2.5

Bᵧ = 5

A + C = A + B

In the x direction:

Aₓ + Cₓ = Aₓ + Bₓ

4 + Cₓ = 4 − 2.5

Cₓ = -2.5

In the y direction:

Aᵧ + Cᵧ = Aᵧ + Bᵧ

-7.5 + Cᵧ = -7.5 + 5

Cᵧ = 5

The horizontal and vertical components of C are -2.5 cm and 5 cm, respectively.

Notice this is the same as vector B.  This makes sense; if A + C is the same as A + B, then C and B must be the same.