C4-Vectors

Vectors

C4 Vectors

This stand-alone unit has some links with the topic in the M1 Mechanics eBook. By the end of the unit you should be able to find ...

		A unit vector in the direction of a

		The distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) by d² = (x₁ – x₂)² + (y₁ – y₂)² + (z₁ – z₂)²

		The vector equation of a line in the form r = a + μb

		The point of intersection of two lines

And by the end of the unit, you should know ...

		If a and b are two vectors with an angle θ between them then: a.b = \| a \|\| b \| cos θ where a.b is the scalar product of a and b

		If a and b are two non zero vectors, then if a.b = 0, then the two vectors are perpendicular