Video Transcript
If the velocity of 𝐴 is equal to
30𝐞, the velocity of 𝐵 is equal to negative 15𝐞, then the velocity of 𝐴 relative
to 𝐵 is equal to blank 𝐞. Is it (A) negative 45, (B) negative
15, (C) 15, or (D) 45?
We know that when dealing with
velocity vectors, the velocity of 𝐴 relative to 𝐵 is equal to the velocity of 𝐴
minus the velocity of 𝐵. 𝐴 and 𝐵 are traveling in opposite
directions, as the velocity of 𝐴 is equal to positive 30𝐞, whereas the velocity of
𝐵 is equal to negative 15𝐞. We need to subtract negative 15𝐞
from 30𝐞. This is the same as adding 15𝐞 to
30𝐞. 30𝐞 plus 15𝐞 is equal to
45𝐞.
The missing value is therefore
option (D) 45. If the velocity of 𝐴 is equal to
30𝐞, the velocity of 𝐵 is equal to negative 15𝐞, then the velocity of 𝐴 relative
to 𝐵 is 45𝐞.
