Vectors example sentences

"Vectors" Example Sentences

1. The vectors point in the directions of maximum growth.
2. The velocity and acceleration vectors are perpendicular.
3. The vectors are multiplied using the dot product.
4. I need to calculate the sum of the two force vectors.
5. The unit vectors point along the x, y, and z axes.
6. The vector sum of the forces equals the net force.
7. The position vector points from the origin to the particle.
8. The position, velocity, and acceleration are all vector quantities.
9. The vectors define the directions of the magnetic and electric fields.
10. I graphed the velocity vectors over time.
11. Two vectors are perpendicular if their dot product equals zero.
12. We added the displacement vectors to find the resulting distance.
13. The velocity vectors showed the particles moving in random directions.
14. The force vectors balance, resulting in no net force.
15. The unit vectors define the coordinate system.
16. The sum of the position vectors equals the resultant position vector.
17. We multiplied the vectors to determine the angle between them.
18. The vectors represent variables in the matrix.
19. The base vectors define the x, y and z components of a vector quantity.
20. The acceleration vectors were used to calculate impact forces.
21. The equation contains vectors and scalar quantities.
22. The normalized vectors have a length of one unit.
23. We varied the magnitude and direction of the force vectors.
24. The velocity vector points in the direction of movement.
25. I multiplied the coefficient vector by the data vector.
26. The vectors showed the change in position over time.
27. Linear combinations of the base vectors allow describing any vector.
28. The velocity vectors indicate the general direction of traffic flow.
29. The unit vectors have a magnitude of one.
30. The two forces have equal and opposite vectors.
31. The gradient vector points in the direction of maximum increase.
32. The force vectors cancelled each other out.
33. The column vectors span the vector space.
34. We subtracted the position vectors to get the displacement.
35. The acceleration vectors were used to calculate impact forces.
36. The force vectors were summed to determine the net force.
37. The solution is a linear combination of the eigenvectors.
38. The vectors represent the basis functions of the space.
39. The gradient vector points in the direction of steepest ascent.
40. The eigenvectors are the directions of maximum variance in the data.
41. The vectors represent directions and magnitudes.
42. I sketched the position and velocity vectors at each time step.
43. The vectors depict the directions and relative strengths of forces.
44. We measured the absolute value and argument of the complex vectors.
45. The column vectors form the basis for the vector space.
46. The standard basis vectors point along the x, y and z axes.
47. We broke the force vector down into its components.
48. We added the displacement vectors to find the total distance traveled.
49. The position vectors define the locations of the particles.
50. The orthonormal vectors form an eigenbasis.
51. The vectors model quantities that have both magnitude and direction.
52. The displacement vectors show the change in position over time.
53. The force vectors cancel when applied to the same point.
54. The dot product projects one vector onto another.
55. The vectors represent the state of the dynamical system.
56. The unit vectors have a magnitude of one and define the coordinate axes.
57. The column vectors form a basis for the column space.
58. The orthogonal vectors form a basis for the vector space.
59. The standard basis vectors point along the x-, y- and z-axes.
60. The eigenvectors define the principal axes of variation in the data.

Common Phrases

1. The vectors point in the direction of maximum change.
2. The vectors plotted on the graph represent the wind speed and direction.
3. The force vectors add to produce a resultant vector representing the net force.
4. The vector quantities include velocity, acceleration, and force.
5. The dot product of two vectors gives a scalar result.
6. The cross product of two vectors yields another vector that is perpendicular to the original two vectors.
7. The vectors can be added by constructing a parallelogram with the two vectors representing adjacent sides.
8. The displacements represented by the vectors will add according to the parallelogram law.
9. The basis vectors are used to define the coordinate system.
10. A coordinate transformation changes a vector from one coordinate system to another.
11. The vectors were resolved into their rectangular components to simplify the calculation.
12. The adjacent vectors were broken down into components to determine their resultant.
13. The unit vectors point in the x, y, and z directions respectively.
14. The vector sum of all the forces equals zero for objects at equilibrium.
15. The vectors were normalized to unit length for mathematical simplicity.
16. Vectors are a concise way of describing direction and magnitude simultaneously.
17. The two vectors are collinear as they point in the same direction.
18. Vector fields are used to describe physical quantities that have both magnitude and direction.
19. Multiplying a vector by a scalar doubles its magnitude and maintains its direction.
20. The vectors represent the relative strengths and directions of the magnetic field.
21. The origin is where all position vectors begin.
22. The position vectors point from the origin to the position of the object.
23. The vectors share a common tail but have different heads.
24. The vectors form a parallelogram since opposite sides are parallel.
25. A basis of orthogonal unit vectors simplifies vector calculations.
26. The displacement vector represents the change in position.
27. The vectors have the same magnitude but point in opposite directions.
28. Vector calculus is useful in describing physical quantities with direction and magnitude.
29. Vector addition is commutative but vector multiplication is not.
30. The unit vectors form an orthogonal basis set.
31. The two vectors have equal magnitudes but are oriented at different angles.
32. The vector potential is used to calculate the magnetic field vector.
33. The charge and current densities are vector fields.
34. A vector space is a set of vectors that can be added and scaled.
35. Linear combinations of the basis vectors span the entire vector space.
36. The vectors together describe the net displacement.
37. The two vectors are orthogonal as they are perpendicular to each other.
38. The vectors represent directions and lengths in Euclidean space.
39. The direction cosines define the vector in terms of the basis vectors.
40. The 3D vectors require three components to fully describe them.
41. The direction of the resultant vector depends on the angles between the components.
42. The position vectors must have the same tail but can point anywhere.
43. The velocity vector points in the direction of motion.
44. The magnitude of a vector is a scalar quantity.
45. The vector triangle represents the three vectors acting at a point.
46. The angles between the vectors determine how they combine.
47. The vector components transform according to the coordinate system.
48. The vectors of a vector space remain closed under vector operations.
49. The basis vectors span the entire vector space.
50. The gradient of a scalar field is a vector field.
51. The divergence of a vector field yields a scalar value.
52. The curl of a vector field yields another vector.
53. The gradient operator yields a vector when acting on a scalar field.
54. The unit vectors define the orientation of the coordinate system.
55. The dot product can be used to calculate work and power.
56. The vectors break down into components to aid calculations.
57. The dynamic variables of the system can be represented as vectors.
58. Vectors can be multiplied by scalars or added to other vectors.
59. The basis vectors define the frame of reference for the vector space.
60. The vectors represent directions and amounts of change in physical quantities.