Vektoren Flashcards
How do you find a vector, given two points?
You subtract the start point from the endpoint.
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/524/889/a_image_thumb.png?1514712484)
How do you draw vector addition?
- Draw the first vector from the starting point (usually the origin).
- Starting at the end arrow of step 1, draw the second vector.
- The addition vector is the vector that connects the very start point with the endpoint of the second vector.
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/525/098/a_image_thumb.png?1514712639)
How do you draw vector subtraction?
- Draw the first vector from the starting point (usually the origin).
- Starting at the end arrow of step 1, draw the second vector BACKWARDS. (the negative version)
- The subtraction is the vector that connects the very start point with the endpoint of the second vector.
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/525/170/a_image_thumb.gif?1514712799)
How do you multiply scalars with vectors?
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/525/183/q_image_thumb.png?1514713034)
The scalar multiplies each component of the vector.
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/525/183/a_image_thumb.png?1514713086)
What are the two different ways to multiply vectors?
- Dot product (also known as Scalar product)
- Cross product
What is the difference between a dot product (scalar product) and a cross product?
- The outcome of a dot product is just one single number.
- The outcome of a cross product is a new (normal) vector.
How do you find the dot product of two vectors?
Add together the product of the matching components from each vector.
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/525/245/a_image_thumb.png?1514713565)
How do you find the cross product of two vectors?
How do you find a normal vector to two vectors (at the same time)?
You take the cross product of those two vectors.
How do you find the normal vector to this line?
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/525/406/q_image_thumb.png?1514714194)
Each component of the normal vector is simply that component’s coefficient from the equation.
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/525/406/a_image_thumb.png?1514714298)
How do you find the normal vector to this Ebene?
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/559/193/q_image_thumb.png?1514743810)
Each component of the normal vector is simply that component’s coefficient from the equation.
![](https://s3.amazonaws.com/brainscape-prod/system/cm/228/559/193/a_image_thumb.png?1514743810)