- #1
Paymemoney
- 175
- 0
Homework Statement
Draw the vector [tex]\vec{C} = \vec{A}+2\vec{B}[/tex]
Homework Equations
None
The Attempt at a Solution
This is what i have i don't know if it is correct
P.S
Paymemoney said:how i do this without bending it? So is it only meant to go horizontally?
Paymemoney said:so would this be correct.
ok, this is what i got from your explanation, so just to make sure i have interpreted your explanation correctly here it is again(hopefully correct -_-).tiny-tim said:So in this case, you draw A which is an arrow going 4 to the right, then you draw B which is an arrow going 2 to the left, and you draw that 2 starting at the end of the 4, so you end up with an everall vector of A + 2B being 2 to the right.
tiny-tim said:(this is just like adding vectors to make a triangle, except that in this case the triangle is flat )
Paymemoney said:ok, this is what i got from your explanation, so just to make sure i have interpreted your explanation correctly here it is again(hopefully correct -_-).
Paymemoney said:What do you mean by "Now tack 2B on"?
A scalar multiple of a vector is a vector that has been multiplied by a constant, also known as a scalar. This constant can be any number, positive or negative, and results in a vector that is either longer or shorter, but still in the same direction as the original vector.
To add scalar multiples of vectors in a graph, you first need to plot the original vector. Then, multiply the vector by the scalar, and plot the resulting vector using the same starting point as the original. The resulting vector will be parallel to the original, but either longer or shorter depending on the value of the scalar.
When you add a negative scalar multiple of a vector, the resulting vector will be in the opposite direction of the original vector. This is because multiplying a vector by a negative number essentially flips the direction of the vector.
No, scalar multiples can only be added if the vectors are parallel. If the vectors are not in the same direction, you will need to use vector addition instead of scalar multiplication.
Adding scalar multiples of vectors in a graph allows you to manipulate the length and direction of a vector. This can be useful in various applications, such as physics and engineering, where vectors are used to represent forces and motion.