Question

Vector A represents displacement of 50 m towards North and vector B represents 90 m displacement towards west. Find the resultant vector (A+B)

Answer 1

`A+B=-90i+50j`

Step-by-step explanation

We want to find the resultant vector of the two vectors A and B.

First, let us make a sketch of the two vectors:

Let us write the two vectors in component form taking the North as the positive y-direction and the West as the negative x-direction:

`\begin{gathered} A=0i+50j \\ B=-90i+0j \end{gathered}`

Therefore, the resultant vector is:

`\begin{gathered} A+B=0i+50j+(-90i+0j) \\ A+B=0i-90i+50j+0j \\ A+B=-90i+50j \end{gathered}`

That is the answer.