# Question Video: Understanding Vectors Between Two Given Points Mathematics

Which of the following is equal to the vector ππ? [A] π + π [B] π β π [C] π β π [D] π Γ π

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### Video Transcript

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

Letβs 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 ππ is equal to vector ππ plus vector ππ. As the vector ππ equals π, then the vector ππ will be negative π, as it is going in the opposite direction but has the same magnitude. The vector ππ 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 ππ is equal to vector π minus vector π.