joe215 said:Homework Statement
Find the vector with the components: Ax=3.2 Ay= -5.15
The Attempt at a Solution
-5.15^2 + 3.2^2= 36.76
sq root of 36.76= 6.06
So, the magnitude is 6.06. Now for the direction...
CosD=3.2/6.06
ArcCos(0.52)=58.7 degrees
So, the direction is 58.7
Am I right? Thanks so much!
A vector is a mathematical object that has both magnitude (size) and direction. It is represented by an arrow pointing in the direction of the vector with its length representing the magnitude.
Vectors are used in various scientific fields such as physics, engineering, and computer graphics. They are particularly useful in representing physical quantities such as force, velocity, and acceleration, which have both magnitude and direction.
A vector has both magnitude and direction, while a scalar only has magnitude. Examples of scalars include temperature, mass, and time, while examples of vectors include displacement, velocity, and acceleration.
Vectors can be represented in multiple ways, including as a column or row of numbers, or using components in the x, y, and z directions. They can also be represented using mathematical notation, such as a or v, with an arrow above it to indicate that it is a vector.
Yes, vectors can be added or subtracted using the rules of vector addition and subtraction. This involves adding or subtracting the components of the vectors in the same direction to get the resulting vector.