# Vectors - AS and A2

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How do you find a resultant vector?

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## Tags and Description

Letters in bold are vector notations

### 10 Terms

1

How do you find a resultant vector?

a + b or a + b + c

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2

How do you find the magnitude of a 3D vector?

√(i^2 + j^2 + k^2)

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3

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

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4

How do I know if the vectors are parallel? (2D vectors)

If they have a scalar multiplier applied on their position vector.

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5

What is the general form of parallel vectors? (2D vectors)

a = kb

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6

How do you find the unit vector (â)? (2D vectors)

(1/|a|) x a

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7

What does collinear mean? (2D vectors)

When three or more points pass through the same line

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8

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 = kb)

2. Find the equation of the line bewtween two points and check that the third point passes through it.

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9

How would you write a 2D vector in magnitude-direction form?

(magnitude, direction in degrees)

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10

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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