Question

The ordered pairs <-8,2> and <5,-6> represent two vectors. What is the magnitude of the resultant?

Answer 1

Magnitude of resultant vector is 15.

Explanation:

Given the ordered pairs <-8,2> and <5,-6> represent two vectors.

We have to find the magnitude of resultant vector.

As, every vector can be numerically represented in the Cartesian coordinate. The vector AB has an ordered pair for point
`A(x_1,y_1)` and point
`B(x_2,y_2)` that are <-8,2> and <5,-6>

Magnitude of resultant vector can be calculated as

`V=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\V=√((5-(-8))^2+(-6-2)^2)\\\\V=√(169+64)=√(233)=15.26\sim15`

Hence, magnitude of resultant vector is 15.

The correct option is last option.