Question

What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
9.2 units, 49.4° north of west
10.4 units, 40.6° north of west
9.2 units, 49.4° south of east
10.4 units, 40.6° south of east

Answer 1

Using vector concepts, it is found that the correct option regarding the magnitude and the tail is given by:

9.2 units, 49.4° north of west

How do we find the vector, and what is it's magnitude?

To find them, we subtract the end coordinate by the start coordinate, hence:

RS = S - R = (-2, 1) - (4,-6) = (-6,7).

The magnitude is given by the square root of the sum of the squares of each coordinate, hence:

$|RS| = \sqrt{(-6)^2 + 7^2} = \sqrt{85} = 9.2$

Considering a xy graph, the vector is decaying, that is, moving north of west, hence the correct option is:

9.2 units, 49.4° north of west

More can be learned about vectors at brainly.com/question/24606590