Question

The velocity of a drone relative to the air is modeled by v = 13i + 3j. The drone encounters wind with velocity modeled by w = −7i − 2j. Which is the true velocity vector of the drone?

Answer 1

From the statement of the problem, we know that:

• the velocity of the drone relative to the air is:

`v=13i+3j,`

• the drone encounters wind with velocity:

`w=-7i-2j\text{.}`

The true velocity vector of the drone is given by the sum of the velocities:

`v+w=(13i+3j)+(-7i-2j)=(13-7)i+(3-2)j=6i+j.`

Answer: 6i + j