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XxXImHerXxX:

Does anyone know how to do vector Addition

Ferrari:

vector

Ferrari:

does this involve graphs

whyjustwhy:

calculator

Ferrari:

@whyjustwhy wrote:
calculator
*brain explodes*

XxXImHerXxX:

@ferrari wrote:
does this involve graphs
yes

Nitrox:

vector despicable me reference

Stewart:

Oh yeah Victor!! Lol

Ferrari:

@nitrox wrote:
vector despicable me reference
yes

XShawtyX:

To add vectors, you can use the component method by adding their corresponding x- and y-components, or the graphical (head-to-tail) method by placing the tail of each subsequent vector at the head of the previous one. The component method yields a resultant vector with (x₁ + x₂, y₁ + y₂) components, while the graphical method draws a resultant vector from the tail of the first vector to the head of the last vector. Component Method This is a precise mathematical method for adding vectors when they are expressed in terms of their x and y components. 1. Break down each vector into components: Determine the x and y components of each vector. 2. Add the x-components: Add all the x-components together to find the x-component of the resultant vector. 3. Add the y-components: Add all the y-components together to find the y-component of the resultant vector. 4. Form the resultant vector: The resultant vector is then expressed as the sum of these new x and y components. For example, the sum of (x₁, y₁) and (x₂, y₂) is (x₁ + x₂, y₁ + y₂). (Got that of google)

Stewart:

Ohhh ok now I learned something new. Not that it's me asking but still

ihy:

@xshawtyx wrote:
To add vectors, you can use the component method by adding their corresponding x- and y-components, or the graphical (head-to-tail) method by placing the tail of each subsequent vector at the head of the previous one. The component method yields a resultant vector with (x₁ + x₂, y₁ + y₂) components, while the graphical method draws a resultant vector from the tail of the first vector to the head of the last vector. Component Method This is a precise mathematical method for adding vectors when they are expressed in terms of their x and y components. 1. Break down each vector into components: Determine the x and y components of each vector. 2. Add the x-components: Add all the x-components together to find the x-component of the resultant vector. 3. Add the y-components: Add all the y-components together to find the y-component of the resultant vector. 4. Form the resultant vector: The resultant vector is then expressed as the sum of these new x and y components. For example, the sum of (x₁, y₁) and (x₂, y₂) is (x₁ + x₂, y₁ + y₂). (Got that of google)
That's a lot to take in

Ferrari:

fr but hey anything helps

moreso:

Vector addition in the canonical vector space \( \large \mathbb R^n \) is straightforward. Given vectors \( \large { \vec{\bf{ x}}= (x_1, x_2,... ,x_n)} \) and \( \large{ \vec{ \bf{ y} } = (y_1, y_2, ..., y_n ) } \) we define the vector sum \( \large { \vec {\bf {x} } + \vec {\bf { y} }}\) as follows: $$ \large { \vec {\bf {x} } + \vec {\bf { y} } \ = (x_1 + y_1 , x_2 + y_2, ... , x_n + y_n) }$$i.e. we add their components. Similarly we define scalar multiplication \( \large { c \vec {\bf{x} }}\) as follows: $$ \large { c \vec {\bf{x} } = ( c x_1 , c x_2, ... ,c x_n ) } $$In other vector spaces we are usually careful to define the vector sum of two vectors , especially if the vector space is unusual (like the vector space of continuous functions over \( \mathbb R\) ). Also we define scalar multiplication.

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