3.HL Vectors

Key Ideas

AHL 3.10 The area of a triangle using vectors

AHL 3.12 Skew and Intersecting lines

AHL 3.13 Angle between two Vectors

AHL 3.13 Crosws Product (Vector Product)

Key Ideas

Explain how the in-product of two vectors relates to the cosine rule.
Understand that 3D systems of axes are not always the same in other cultures (movie: "Independence Day")

AHL 3.10 The area of a triangle using vectors

https://www.youtube.com/watch?v=vjjGnsPRHkA&t=2s

Finding the distance to a ship at sea

https://www.youtube.com/watch?v=IECNv3Be3Vk

Swimming across a river with a current

https://youtu.be/vIQl9YAOsFc

AHL 3.12 Skew and Intersecting lines

https://www.youtube.com/watch?v=i5gfpQHUUVo

AHL 3.13 Angle between two Vectors

We learn how to calculate the angle between two vectors. The formula is given and 2 examples are worked through, with both 2D and 3D vectors. Working is clearly shown.

https://youtu.be/pSd78cIZAv4

We learn how to derive the formula for the cross product, or vector product, of two vectors using the determinant of a 3 by 3 matrix.The method is clearly explained and assume no prior knowledge of matrices.

https://youtu.be/jvb-Um6V734

AHL 3.13 Crosws Product (Vector Product)

We learn how to calculate the cross product using the determinant of a 3 by 3 matrix, by working through a detailed example. The cross product is also known as the vector product. The method we learn here will allow us to find calculate it without having to memorize the formula.

https://www.youtube.com/watch?v=f036SIfypZo

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