kara said:A plane flies 483 km east from city A to city B in 45.0 min and then 966 kim south from city B to city C in 1.50 h. For the total trip, what are the magnitude and direction of the plane's displacement, the magnitude and direction of its average velocity, and its average speed?
Would this be correct:
I calculated r the distance between points A and C by r = (483 km) + (- 966 km) to get - 483 km
So the planes magnitude was 483 km in the negative direction, or south east. Is this correct?
kara said:ok.. so i used pythagorean theorem and got this:
r = 1080.020833 which i'll round to 1080 for 4 sig figs.
Now finding r gave the the magnitude would i use the tan formula to find direction?
kara said:...
If i draw the diagram on the cartesian plane i get the final location of the plane to be in the -y +x coordinate, so it would be in the south east direction? am i right?
A vector is a mathematical object that has both magnitude (size) and direction. It is commonly represented by an arrow pointing in the direction of the vector, with its length representing the magnitude.
A scalar is a quantity that only has magnitude, while a vector has both magnitude and direction. Examples of scalars include temperature and mass, while examples of vectors include velocity and force.
Vectors have many applications in various fields, including physics, engineering, and computer graphics. They are used to represent physical quantities such as displacement, force, and acceleration, and also play a crucial role in vector calculus and linear algebra.
In mathematics, vectors are commonly represented as ordered lists of numbers, called components. For example, a two-dimensional vector with components (3, 4) can be represented as .
Yes, vectors can be added or multiplied together, but the operations are not the same as those for scalars. When vectors are added, their components are added separately. When multiplied, there are two common types of vector multiplication: dot product and cross product. The dot product results in a scalar, while the cross product results in a vector.