Vectors
63 resources created by 50 users
This Vectors page on GoConqr gathers community-made quizzes, mind maps, flashcards, notes and slide sets, from position vectors and the scalar product to lines in space and three-dimensional coordinates. It's built for school students, university students and professional candidates revising or filling gaps, and for teachers after ready-made material. There are over 50 resources here, including more than 8 quizzes and over 15 mind maps, pitched at GCSE Maths and A-level Mathematics as well as university study. Try a quiz first to find your gaps.
Top Vectors resources
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10 questionsVector Quiz Is 5 m/s a vector.
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15 questionsChapter 6.1-6.2 honors pre-calculus What is a vector?
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12 cardsScalar Product How do we represent the scalar product of vector a and b?
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Mind map VECTORS
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27 cardsUnit 4: Key terms
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13 cardsVector Basics Cartesian form means in terms of.....
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11 cardsConverting between Cartesian and Vector form An example of a 2D Cartesian equation of r=a+λb is....
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9 cardsParallel, Intersecting, Skew and same lines In 2D and 3D, parallel lines have how many solutions?
Quizzes
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10 questionsVector Quiz Is 5 m/s a vector.
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15 questionsChapter 6.1-6.2 honors pre-calculus What is a vector?
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7 questionsVectors Maths Quiz Which of the following are vector quantities?
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15 questionsquiz
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16 questionsUntitled A force of 325N at 35 degree to the horizontal in Cartesian form
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5 questionsVector Quiz NOT FINISHED
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6 questionsExam 1 Review Prep How do you find the distance between two points?
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1 questionsUntitled Sea el vector A=4i-3j y B=i-3j. Determine: A+B
Mind maps
See all 19 mind mapsFlashcards
See all 23 flashcards-
12 cardsScalar Product How do we represent the scalar product of vector a and b?
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27 cardsUnit 4: Key terms
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13 cardsVector Basics Cartesian form means in terms of.....
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11 cardsConverting between Cartesian and Vector form An example of a 2D Cartesian equation of r=a+λb is....
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9 cardsParallel, Intersecting, Skew and same lines In 2D and 3D, parallel lines have how many solutions?
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9 cardsVectors Definition of a vector
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10 cardsShortest Distance Problems With these kinds of problems, what should we do to make it easier for us to visualize?
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2 cardsUntitled Addition of vectors - ------------------------ 1. p-divides a and b in m:n then, p= mb+na/m+n . 2. passing ...
Notes
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Problems using Vectors One dimensional forces The resultant force is the vector sum of all the forces acting on an object. Remember that at the beginning of a question you must determine what is the positive direction. Always indicate this ...
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Position vectors What are position vectors? A position vector is the vector of an arrow drawn to from an origin to a point. Look at the example below - a Cartesian plane in which we see points AA A and BB B The position vector of AA A...
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Introduction to Vectors What is a vector? A scalar is a quantity that has magnitude only. Examples: Mass, time, electric charge, speed, distance A vector is a quantity that has both magnitude and direction. Examples: Force, displacement, vel...
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Parametric representation of lines To recap instead of writing vectors as a = (3, 4) for simplification unit vectors can be used as i = (1, 0) and j = (0, 1). As unit vectors, a would equal 3*i + 4*j or 3i + 4j Example: v = (2, 1) 2v 1.5v v ...
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OF2 Vectors Topics Vectors1. Basic ConceptsScalarVectorMagnitudeDirectionNotation2. Basic OperationsAdditionSubtractionMultiplicationParallelogramsUnit Vectors3. Position Vectors4. Cartesian Co-Ordinates2-DBasis Vectors (i,j)Row or Colu...
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Vector Geometry Example 1;QUESTION 1find the scalars product of the following pairs of vectors(a) a= 2i +3j and b= -i +4j  ...
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Untitled Vectors Zero vector and unit vectors A vector with magnitude 0 is called the zero vector, written 0. A vector with magnitude 1 is called a unit vector.Vectors are equal if they ...
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Linear Combinations Linear combination: e.g. a = (3, 4) and b = (6,3) Linear combination would be an upscale of the vector e.g. 7a + 4b = (21, 28) + (24, 12) = (45, 40) Span of the vectors a & b = (a, b) = R2 e.g...
Slides
Topics in Vectors
More Mathematics topics
About Vectors
GoConqr OriginalWhat the resources cover
This unit sits in the Geometry, Measurement and Trigonometry strand of Mathematics. The listed material runs from the first ideas to more advanced geometry. Early items ask what a vector is, how to write one in component form and how to find its magnitude. The mind maps set out direction and magnitude in 2D and 3D, using the square root of (x^2+y^2) and (x^2+y^2+z^2).
Further on, you will find the scalar (dot) product, the vector (cross) product, parametric representation of lines, and flashcards on shortest distance problems and on parallel, intersecting and skew lines.
Where to start
- Begin with the notes Introduction to Vectors or the flashcards Vector Basics to learn the vocabulary.
- Take the Vector Quiz, which asks whether 5 m/s is a vector and how to add two vectors.
- Read the notes Position vectors, which cover arrows drawn from an origin and the distance between two points.
- Move to Problems using Vectors for forces, dividing a line in a given ratio and finding the fourth corner of a parallelogram.
Using quizzes and maps together
Open a mind map first to see how the ideas connect. One map lists column and component forms, the dot product a●b=|a||b|cosθ and the rule that a zero dot product means perpendicular vectors. Then take a quiz without looking and note what you missed. Go back to the matching branch of the map and fix that gap.
The flashcards on the Scalar Product give worked practice, such as finding a.b for two three-part vectors. They suit short, repeated sessions.
Who it suits
Most of the material is aimed at school level, with GCSE Maths and A-level Mathematics mentioned in the listings. A good share suits university students, for example the map on the three-dimensional coordinate system and the equation of a sphere. Teachers can use the slide sets and notes as ready-made material.
Next step
Pick one quiz, see how you get on, then choose the notes or map that fits your result.
Frequently asked questions
Which resource should I open first?
Start with the notes Introduction to Vectors or the flashcards Vector Basics if the topic is new. If you already know the basics, take the Vector Quiz, which covers scalars, directions, magnitudes and adding vectors, then decide what to revise.
What do the mind maps cover?
The maps cover forms of a vector, direction and magnitude in 2D and 3D, the dot product and cross product, and perpendicular vectors. One map looks at the three-dimensional coordinate system, including distance between points and the equation of a sphere.
Which levels and exams do these resources suit?
Most resources are for school level, and the listings mention GCSE Maths and A-level Mathematics. Around a third suit university study. School students, university students, professional candidates and teachers can all find something useful here.
Are the resources free to use?
Yes. Every resource listed here is free to open, study and take, with no account needed. They were made by GoConqr users, not by GoConqr itself. A free account also saves your quiz scores and lets you make your own quizzes, mind maps, flashcards and notes.
Which resources help with lines and shortest distances?
Look at the flashcards on parallel, intersecting, skew and same lines, the flashcards on shortest distance problems and the notes on parametric representation of lines. The flashcards on converting between Cartesian and vector form are a useful companion.
What if I cannot find the topic I need?
Try the neighbouring resources first, such as the Vector Geometry notes or the map on component vectors. If a topic is still missing, you can build your own notes, flashcards or mind map and use it for revision.