Not without saying what v is!perc_wiz11 said:once i create a standard vector, can say that the points of trisection are at the scalar multiples of v?
Is v the vector from (1, 2) to (7, 5)? If so, then what you are doing is correct and you have the right answer.then translate them back to the line segment at its original position? so if the standard vector is <6,3> and take 1/3 v the points of trisection on that vector are (2,1) and (4,2). once i translate that, would the answer be (3,3) and (5,4) ?
Scalars are quantities that have only magnitude, such as mass or temperature. Vectors, on the other hand, have both magnitude and direction, such as velocity or force.
The magnitude of a vector is the length of the vector. To find the magnitude, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Yes, vectors can be added or subtracted. When adding or subtracting vectors, you must consider both the magnitude and direction of the vectors. The result is a vector that represents the combined effect of the original vectors.
The dot product of two vectors is a scalar quantity that represents the magnitude of one vector multiplied by the component of the other vector in the same direction. To find the dot product, you multiply the corresponding components of the two vectors and then add them together.
The cross product of two vectors is a vector that is perpendicular to both of the original vectors. It has a magnitude equal to the product of the magnitudes of the two vectors and a direction determined by the right-hand rule. To calculate the cross product, you take the determinant of a 3x3 matrix formed by the components of the two vectors.