How do you find the **magnitude** of a **3D** vector?
√(**i**^2 + **j**^2 + **k**^2)
3
New cards
How do you find the **angle** between two **3D vectors** (**a** and **b**)?
Draw a triangle, draw a line for (**ab**) find the magnitude of each vector and use the cosine rule
4
New cards
How do I know if the vectors are **parallel**? (2D vectors)
If they have a scalar multiplier applied on their position vector.
5
New cards
What is the **general form** of **parallel** vectors? (2D vectors)
**a** = k**b**
6
New cards
How do you find the **unit vector** (**â**)? (2D vectors)
(1/|**a**|) x **a**
7
New cards
What does **collinear** mean? (2D vectors)
When three or more points pass through the same line
8
New cards
What methods can you use to determine that three points (i.e. A, B and C) are collinear? (2D vectors)
1. Find the vector **AB** and the vector **AC** and show that they are parallel by finding a scalar multiplier (**a** = k**b**) 2. Find the equation of the line bewtween two points and check that the third point passes through it.
9
New cards
How would you write a 2D vector in **magnitude-direction** form?
(magnitude, direction in degrees)
10
New cards
How would you measure the direction of a 2D vector?
Find the angle the vector makes if you travel anti-clockwise from the x-axis. Always draw a diagram to show to the examiner.