CIE A Level Maths: Pure 3复习笔记7.3.4 Uses of the Scalar Product
Uses of the Scalar Product
This revision note covers several applications of the scalar product for vectors – namely, how you can use the scalar product to:
- find the angle between vectors or lines
- test whether vectors or lines are perpendicular
- find the closest distance from a point to a line
How do I find the angle between two vectors?
How do I find the angle between two lines?
- To find the angle between two lines, find the angle between their direction vectors
How do I tell if vectors or lines are perpendicular?
How do I find the shortest distance from a point to a line?
Worked Example
Exam Tip
It can be easier and clearer to work with column vectors when dealing with scalar products.
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