Vectors Flashcards

1
Q

What are vectors

A

They are to be thought of as a journey.

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2
Q

What are the ways in which we can describe a vector?

A
  1. Components

2. Distance and Direction

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3
Q

What do the unit vectors “i” and “j” represent?

A

“i” represents “x” (right to left)
“j” represents “y” ( from bottom to up)

(This way will be written in bold)

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4
Q

How is the distance and direction form calculated?

A

Units (squares) of the hypotenuse

And the bearing.

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5
Q

How are hand written unit vectors written?

A

The same as printed but with symbol ~ under the letter.

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6
Q

How can the journey be represented in capital letters?

A

AB

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7
Q

Name the ways vectors can be represented.

A
  1. Capital letters
  2. Distance and Direction
  3. Column Vector
  4. Unit Vectors (printed and handwritten)
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8
Q

How are column vectors represented?

A

(6)
(8)

(Only with two brackets covering both numbers).

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9
Q

What are equal vectors?

A

When both components of the vector match.

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10
Q

How to add and subtract vectors?

A

Add or subtract the components separately

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11
Q

How to combine vectors on a diagram?

A

Start the second vector where the first vector ends.

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12
Q

How to draw subtracted vectors on a diagram?

A

The same as adding but reverse the components

So -3 in reverse would be 3 to the right and 2 down.
2

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13
Q

What is the resultant vector?

A

It is the result of the vectors.

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14
Q

What is scalar multiplication?

A

Multiplying vectors using the same method as adding or subtracting.

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