# 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?