AlchemistK said:Homework Statement
|Vp| = [tex]\sqrt{}3[/tex]
Find a vector which is passing through (1,1,1) and (3,4,5) whose magnitude is equal to vector P.
I have started studying vectors, and know the vector algebra rules, thought i do not understand the use of coordinates in order to find the direction.
Thank you.
A vector is a mathematical object that has both magnitude (size) and direction. It is usually represented by an arrow pointing in the direction of the vector with a length proportional to its magnitude.
To add vectors, you can use the parallelogram rule or the triangle rule. In the parallelogram rule, you draw the two vectors as adjacent sides of a parallelogram and the diagonal of the parallelogram represents the sum of the two vectors. In the triangle rule, you draw the two vectors as two sides of a triangle and the third side represents the sum of the two vectors.
A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction. For example, a speed is a scalar quantity, but velocity (speed with direction) is a vector quantity.
The magnitude of a vector can be found by using the Pythagorean theorem to calculate the length of the vector. The direction of a vector can be found by using trigonometric functions, such as tangent or sine, to determine the angle between the vector and a reference axis.
Vectors are used in many fields, such as physics, engineering, and navigation. They are used to represent forces, velocities, and displacements, and are essential in understanding the motion of objects. Vectors are also used in computer graphics to create 3D images and animations.