### Video Transcript

Which of the following is equal to
the vector ππ? Is it (A) π plus π, (B) π minus
π, (C) π minus π, or (D) π times π?

Letβs begin by considering the two
points π΄ and π΅ on a two-dimensional coordinate grid. The vector π will take us from the
origin π to the point π΄. Likewise, vector π will take us
from the origin to the point π΅. We need to work out how we can get
from point π΄ to point π΅. One way of doing this is going via
the origin π. This means that vector ππ is
equal to vector ππ plus vector ππ. As the vector ππ equals π, then
the vector ππ will be negative π, as it is going in the opposite direction but
has the same magnitude. The vector ππ is equal to π. Negative π plus π can be
rewritten as π minus π. This means that the correct answer
is option (C). The vector ππ is equal to vector
π minus vector π.