Chapter 23: Vector 2 Flashcards
The vector product, equation of a plane, and finding more distances... Is it a bird, is it a plane? Yes it is.
What is the definition of the vector product/cross product?
What are the anti-commutative and distributive properties of vectors?
How do you determine if two vectors, a and b, are parallel?
How do you calculate the cross product of two 3-dimensional vectors, a and b?
How do you calculate the area of a triangle?
State the vector equation of a line, using a position vector, a, and parallel vector, b.
State the cartesian equation of a line.
State the vector product form.
For r x b = c, b is the parallel vector, c is a x b.
State the vector equation of a plane.
State the scalar product equation for a plane.
What is a perpendicular vector also known as? And how do you calculate it?
The normal of a plane is found by cross-product-ing two vectors, to give n. p is found by finding the scalar of the position, point and the normal.
State the cartesian equation of a plane.
How do you find the acute angle between a plane and a line?
How do you find the acute angle between two planes?
How do you find the distance from a point to a plane?
What are the rules for points and planes regarding the origin?
