Vectors
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8th grade
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Mathematics
Lesson
Vectors
6 days ago by
kaylene_connell_897300
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- Slide 1Report an issue
Vectors
A review of what you need to know about vectors for IGCSE
- Slide 2Report an issue
- Slide 3Report an issue
How to represent a vector
1. Column vector
2. Line with an arrow - Question 460 secondsReport an issueQ.
Write vector A as a column vector. Click on the correct answer below.
answer choices - Question 545 secondsReport an issueQ.
Vector B can be written as a column vector where the top number is m and the bottom number is n. What is the value of n?
answer choices - Question 645 secondsReport an issueQ.
Vector B can be written as a column vector where the top number is m and the bottom number is n. What is the value of m?
answer choices - Slide 7Report an issue
Magnitude of a vector
To find the magnitude of a vector we use Pythagoras theorem. Don't forget the notation!
- Question 8120 secondsReport an issueQ.
The magnitude of this vector is
what is the value of k?answer - Question 9300 secondsReport an issueQ.
A vector goes from the point (-2,7) to the point (4,5) it's magnitude is
what is the value of m?answer - Question 10120 secondsReport an issueQ.answer
- Slide 11Report an issue
Vectors to describe translations.
Triangle C is translated by vector a to give triangle C'. Where will the new triangle be? What are the coordinates of P' (where point P ends up)?
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Where was triangle C'?
If you answered that the coordinates of P' were (0,2) then you are correct! This translation moves the triangle 4 to the right and down 1.
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What is the distance between triangle C and triangle C'?
Did you realise that the distance between the 2 triangles is the magnitude of vector a (remember we write that|a|)?
So the answer here is square root of 17. - Slide 14Report an issue
Multiplying a vector by a scalar.
(A scalar is just a fancy word for number)
- Slide 15Report an issue
Multiplying a vector by a negative number.
Text - Slide 16Report an issue
Multiplying a vector by a fractional scalar.
Text - Slide 17Report an issue
How to add column vectors.
Text - Question 18120 secondsReport an issueQ.
Enter the numbers a,b - you need to type in the 2 numbers separated by a comma with no space.
answer - Slide 19Report an issue
How to add vectors graphically.
Draw the first vector and where it finishes start drawing the second vector.
- Slide 20Report an issue
How to subtract column vectors.
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Subtracting vectors graphically
As for addition draw the first vector and then at the end of it draw the second vector but going in the opposite direction.
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Position Vector
The position vector is the vector from the origin to a point.
- Slide 23Report an issue
- Question 24120 secondsReport an issueQ.answer
- Question 25120 secondsReport an issueQ.
Don't include any spaces in your answer.
answer - Slide 26Report an issue
Try this question on paper. Then check your answers on the next slide.
Text - Slide 27Report an issueTitle
Here are the answers. On the next slide you can see a video explanation of how I got them.
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