- #1
g.lemaitre
- 267
- 2
Homework Statement
Homework Equations
The Attempt at a Solution
I can't get the answer above. Is u -4 over 15? if so, the dot product of u and x should be
-20 + 105. I'm clearly on the wrong track.
Parallel Vectors and Dot Product Calculations
In summary, parallel vectors in computing are vectors that have the same direction and can be represented by a single line in a two-dimensional space. They are used for various purposes, such as graphics programming, physics simulations, and linear algebra and machine learning algorithms. To compute parallel vectors, the dot product or cross product formula can be used. The main difference between parallel and perpendicular vectors is their direction, and non-numerical data can be represented as parallel vectors using techniques like one-hot encoding or word embeddings.
I can't get the answer above. Is u -4 over 15? if so, the dot product of u and x should be
-20 + 105. I'm clearly on the wrong track.
- #2
E_M_C
- 43
- 0
If you're going to do it that way, notice that the 1/5 term in the unit vector u should be multiplied by both -4 and 3 before it is dotted with x.
- #3
g.lemaitre
- 267
- 2
Thanks, I was able to figure it out by looking at the next example.
1. What are parallel vectors in computing?
Parallel vectors in computing refer to vectors that have the same direction and are either the same length or are scalar multiples of each other. This means that they are parallel to each other and can be represented by a single line in a two-dimensional space.
2. How are parallel vectors used in computing?
Parallel vectors are used in computing for various purposes, such as in graphics programming to represent objects in a three-dimensional space or in physics simulations to model forces and movements. They are also used in linear algebra and machine learning algorithms to perform vector operations and calculations.
3. How do you compute parallel vectors?
To compute parallel vectors, you can use the dot product or cross product formula, depending on the type of vectors given. The dot product formula is used for parallel vectors in the same direction, while the cross product formula is used for parallel vectors in opposite directions.
4. What is the difference between parallel and perpendicular vectors?
The main difference between parallel and perpendicular vectors is their direction. Parallel vectors have the same direction, while perpendicular vectors have opposite directions and form a 90-degree angle with each other. Additionally, parallel vectors can be scaled by a constant factor, but perpendicular vectors cannot.
5. Can non-numerical data be represented as parallel vectors?
Yes, non-numerical data can be represented as parallel vectors using techniques such as one-hot encoding or word embeddings. These methods convert categorical or textual data into numerical vectors that can be used in various computing applications.
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