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How do you find a resultant vector?
a + b or a + b + c
How do you find the magnitude of a 3D vector?
ā(i^2 + j^2 + k^2)
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
How do I know if the vectors are parallel? (2D vectors)
If they have a scalar multiplier applied on their position vector.
What is the general form of parallel vectors? (2D vectors)
a = kb
How do you find the unit vector (Ć¢)? (2D vectors)
(1/|a|) x a
What does collinear mean? (2D vectors)
When three or more points pass through the same line
What methods can you use to determine that three points (i.e. A, B and C) are collinear? (2D vectors)
Find the vector AB and the vector AC and show that they are parallel by finding a scalar multiplier (a = kb)
Find the equation of the line bewtween two points and check that the third point passes through it.
How would you write a 2D vector in magnitude-direction form?
(magnitude, direction in degrees)
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.
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