A displacement vector with a magnitude of 20. meters could have perpendicular components with magnitudes of

To find the magnitude of the resultant vector, the formula is written as:

R² = x² + y²,
where
x and y are the perpendicular vectors along x and y axes, respectively.

So, any pair of x and y must satisfy the given equation. There are a lot os possibilities. Let's say, if x = 12, then,

20² = 12² + y²
y = 16

One answer would be a horizontal x vector equal to 12 m, and a vertical y vector equal to 16 m.

Answer Link

ernikhil ernikhil · Answer 2 · 2021-10-27T06:14:48+02:00

The resultant perpendicular components can be written as [tex]R^2_x+R^2_y=400[/tex].

The resultant of the two perpendicular vectors is given as

[tex]R^2=R^2_x+R^2_y[/tex] where, [tex]R_x[/tex] is the horizontal component and [tex]R_y[/tex] is the vertical component.

According to the question, the resultant magnitude of the vector is [tex]20\;meters[/tex]. So,

The resultant perpendicular components can be written as

[tex]R^2_x+R^2_y=R^2\\R^2_x+R^2_y=400[/tex]

Learn more about vectors here:

https://brainly.com/question/13322477?referrer=searchResults