AS Pure Chapter 11: Vectors

9 flashcards · Mathematics · by TheoTyson

1. What does it mean if PQ⃗=RS⃗\vec{PQ} = \vec{RS}PQ ​=RS ?

   Line segments PQPQPQ and RSRSRS are equal in length and parallel.

2. What is the relationship of AB⃗\vec{AB}AB and BA⃗\vec{BA}BA ?

   They have the same length, are parallel but in opposite directions.

3. What is AB⃗+BC⃗\vec{AB} + \vec{BC}AB +BC equal to?

   AB⃗+BC⃗=AC⃗\vec{AB} + \vec{BC} = \vec{AC}AB +BC =AC

4. What is PQ⃗+QP⃗\vec{PQ} + \vec{QP}PQ ​+QP ​ equal to?

   PQ⃗+QP⃗=0\vec{PQ} + \vec{QP} = 0PQ ​+QP ​=0

5. What is the relationship between aaa and λa\lambda aλa ?

   They are parallel vectors.

6. What is a unit vector?

   A vector with length 111 .

7. What is (pq)\begin{pmatrix} p \\ q \end{pmatrix}(pq​) in i\textbf{i}i and j\textbf{j}j notation?

   (pq)\begin{pmatrix} p \\ q \end{pmatrix}(pq​) = pi+qjp \textbf{i} + q \textbf{j}pi+qj

8. What is the magnitude of a=xi+yj=(xy)a = x \textbf{i} + y \textbf{j} = \begin{pmatrix} x \\ y \end{pmatrix}a=xi+yj=(xy​) ?

   ∣a∣=x2+y2|a| = \sqrt{x^2 + y^2}∣a∣=x2+y2 ​

9. What is a unit vector in the direction of aaa ?

   Unit vector in the direction of a=a = a= a∣a∣\frac{a}{|a|}∣a∣a​ .