Summary
Summary OCR MEI Mathematics: Year 1 (AS) Pure - Vectors Cheat Sheet
- Course
- Institution
This document briefly summarises the key points in the Year 1 'Vectors' topic of OCR's Mathematics (MEI) course.
[Show more]
1 review
By: tsmith3553 • 1 year ago
Seller
Follow
JodbyBerundi
Reviews received
Content preview
VectorsForms of Vectors
● Vectors have both direction and magnitude
● May be written in bold, underlined or with an arrow above them to show
their direction
● Magnitude-direction form:
○ Written in brackets
○ (magnitude, direction as angle)
○ Direction angle measured in anticlockwise direction from the
positive x-axis
○ (ie straight up is 90°)
● Component form
○ Using unit vectors i and j (unit vector = magnitude of 1)
○ i is the unit vector in the x-direction
○ j is the unit vector in the y-direction
○ Written as a column vector
○ Total magnitude found by using pythagoras (with i and j being the
two sides of the triangle that aren’t the hypotenuse
○ If the magnitude is equal to r then i is equal to r cosθ and j is equal to
r sinθ
Vector Arithmetic
● If you multiply a vector by a scalar, both i and j are multiplied by the scalar
● Adding/Subtracting two vectors is done by adding/subtracting the i
components and the j components
● Multiplying two vectors is hard and is covered in the matrices topic of
Further Maths
Position Vectors
● A position vector is a vector which starts at the origin
→ →
● AO = − OA
→ → → → → →
● AB = − OA + OB → AB = OB − OA
→
1 →
● Midpoint vector = OA + 2 AB
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller JodbyBerundi. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.91. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75323 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now