类别 全部 - vectors - forces - structures - planes

作者:Jagbir Bhullar 3 年以前

325

Vectors CPT Jagbir Bhullar MCV4U1-03

Structural engineers specialize in designing large-scale structures such as bridges and skyscrapers, ensuring their stability against environmental forces. They calculate forces acting on buildings, including those from hurricanes, tornadoes, and tsunamis, to design safe structures.

Vectors CPT
Jagbir Bhullar
MCV4U1-03

3 planes intersect in a line

3 planes are coincident

3 planes

2 planes

Line and plane

3 coplanar but not parallel

2 planes are parallel 2 planes are parallel and distinct the third is not parallel

3 planes are parallel

3 planes intersect at 1 point

2 coincident planes

2 parallel planes

2 planes intersecting at line

Line is on π

Line Parallel to π

Intersects π at a point

Point to Plane

Point to Line with vector equation

Point to Line with cartesian coordinate

Intersect at line

2 Planes

Skew

Parallel

Coincident

Intersecting

intersecting lines at a point

parametrics

cartesian equation

Line

Plane

Symmetric

Parametric

Equations in R3

Slope and Direction Vectors

Equation of Lines in R2

Parallel Lines

Coincident Lines

Skew Lines

not commutative

Scalar Law

Distributive Law

Find a,b,c

Calculations

Vector Projections

Scalar Projections

Projections

Associative

Magnitudes

Distributive

Commutative

Rearranged

Lines and Planes

Intersection of 3 Planes

Cross Product

Dot Product

Medical Tools

In hospitals machines are commonly used to diagnose patients and to find the cause of injury. These machines such as the MRI, X-ray, ultrasound and CT-scan are used to locate the exact location of an injury. commonly in MRI's a magnetic field is used to locate these injuries, the only way this magnetic field works is by the use of magnetic field vectors. These vectors are used to control the strength and direction the magnetic resonance imaging are applying to someone getting diagnosed inside the MRI.

Sports

In many sports the application of vectors are used and valued. Vectors are used to determine where a baseball may land or the distance travelled by a football. Vectors provide an exact measurement for which a player needs to make that goal and score a point for their team. Using Force, direction and distance a basketball player is consistently able to control where their ball is thrown. In baseball a board is often kept to check the velocity of each pitch thrown, these values help for teams to separate players between the good and the bad. In mixed martial arts the force produced by a person is constantly tested and calculated to see hitting force and speed.

Architecture

Structural Engineers are types of architects which help in the design of large-scale structures such as bridges or skyscrapers. The role of these structural engineers is to make stable structures which can survive the elements. They calculate forces acting on buildings and the weight of the building to design a safe structure. Commonly a resultant force must be calculated from the composition of forces such as hurricanes, tornados and tsunamis. the forces as previous mentioned all contain magnitudes and directions supporting in the use of calculating vectors to prepare safe structures.




Real Life Application

Distributive Property of Addition

Associative Property of Addition

Commutative property of addition

Properties of Vector addition

Collinear Vectors

Scalar Multiplication

The Vector

Triangle law of addition

Zero Vector

Equal Vectors

Vector Introduction

Points

Collinear points

Midway between points

Distance Between 2 points

Vectors CPT Jagbir Bhullar MCV4U1-03

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