Core Pure - Vectors Flashcards
How many different ways are there to derive a vector equation?
2
What does the first way to derive a vector equation need to be done?
Given 1 position vector
Given 1 parallel vector to the line
A vector equation of a straight line passing thought the point A, with position vector a, and parallel to the vector b is:
What is the purpose of the scalar parameter?
By taking different values of the parameter, you can find the position vectors of different points on that straight line
What do you need to derive a vector equation using the second method?
2 position vectors?
A vector equation of a straight line passing through the points C and D with position vectors c and d respectively is:
How can you work out the cartesian equation of a vector equation?
What does “2 points are collinear” mean?
The 2 points are on the same straight line
What is the vector equation of a plane
What is the explanation of the vector equation of the plane?
What do you need to be given to derive the vector equation of a plane?
A position vector in the plane
2 non parallel, non zero vectors in the plane
What is the normal vector?
How is it usually written?
A vector that is perpendicular to the plane
The normal vector is usually written as n
What is the cartesian equation of a plane in the 3D?
How is a plane generally denoted?
A capital pi
What does coplanar mean?
Points are coplanar if they all lie on the same plane