# Study sets matching "vectors"

vector

magnitude

scalar

Pythagorean Theorem

A measurement with magnitude and direction.... Represented with a…

the amount of a measurement

A measurement that just has amount or magnitude... example: mass,…

method used to recombine component sums or vectors that are pe…

vector

A measurement with magnitude and direction.... Represented with a…

magnitude

the amount of a measurement

vector

magnitude

scalar

Pythagorean Theorem

A measurement with magnitude and direction.... Represented with a…

the amount of a measurement

A measurement that just has amount or magnitude... example: mass,…

method used to recombine component sums or vectors that are pe…

vector

A measurement with magnitude and direction.... Represented with a…

magnitude

the amount of a measurement

Vector

Magnitude

Scalar

Tip to Tail Method

a measurement with magnitude and direction

the amount of a measurement

a numerical measurement or magnitude

Strategy to add vectors

Vector

a measurement with magnitude and direction

Magnitude

the amount of a measurement

scalar

magnitude

direction

resultant vector

quantity with magnitude which lacks direction

quantity of vector

angle of vector

sum of 2 vectors

scalar

quantity with magnitude which lacks direction

magnitude

quantity of vector

scalar

magnitude

direction

resultant vector

quantity with magnitude which lacks direction

quantity of vector

angle of vector

sum of 2 vectors

scalar

quantity with magnitude which lacks direction

magnitude

quantity of vector

vector

magnitude

scalar

Pythagorean Theorem

A measurement with magnitude and direction.... Represented with a…

the amount of a measurement

A measurement that just has amount or magnitude... example: mass,…

method used to recombine component sums or vectors that are pe…

vector

A measurement with magnitude and direction.... Represented with a…

magnitude

the amount of a measurement

vector

magnitude

scalar

Pythagorean Theorem

A measurement with magnitude and direction.... Represented with a…

the amount of a measurement

A measurement that just has amount or magnitude... example: mass,…

method used to recombine component sums or vectors that are pe…

vector

A measurement with magnitude and direction.... Represented with a…

magnitude

the amount of a measurement

vector

magnitude

scalar

Pythagorean Theorem

A measurement with magnitude and direction.... Represented with a…

the amount of a measurement

A measurement that just has amount or magnitude... example: mass,…

method used to recombine component sums or vectors that are pe…

vector

A measurement with magnitude and direction.... Represented with a…

magnitude

the amount of a measurement

vector

Pythagorean theorem

hypotenuse

right triangles

A quantity that has both size and direction.

a²+b²=c²... a squared plus b squared = c squared, where c is the…

the longest side of a right triangle

Triangles containing one 90 degree angle

vector

A quantity that has both size and direction.

Pythagorean theorem

a²+b²=c²... a squared plus b squared = c squared, where c is the…

If vectors are moved according to the r…

Which of the following is a physical qu…

Which of the following is a example of…

Multiplying or dividing vectors by scal…

from the tail of the first vector to the tip of the last vector

scalar

velocity

vectors

If vectors are moved according to the r…

from the tail of the first vector to the tip of the last vector

Which of the following is a physical qu…

scalar

|P₁P₂|=√((x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²)

√30

(x-x₀)²+(y-y₀)²+(z-z₀)²=a²

(2,-3,1)

Distance between P₁ and P₂

What is the distance between P(3,1,5) and R(-2,3,6)

Standard Equation of a Sphere with radius-(a) and center- (x₀,…

Find the center of sphere, x² +y² +z² +4x -6z +2 = 0

|P₁P₂|=√((x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²)

Distance between P₁ and P₂

√30

What is the distance between P(3,1,5) and R(-2,3,6)

dot product (of a and b) = 0

dot product (of a and b) = ‖a‖ * ‖b‖

cosθ

resultant of the force due to pulls in…

orthogonal

parallel

(v dot w)/(‖v‖ * ‖w‖)

magnitude of the sum of each of the vectors

dot product (of a and b) = 0

orthogonal

dot product (of a and b) = ‖a‖ * ‖b‖

parallel

Vector quantities

Vector

Resultant of two vectors

Resolving a vector

Have both magnitude and direction, such as Displacement, Veloc…

represented by an arrow whose length represents the magnitude…

Adding the vectors tail-head-tail-head; vector diagram drawn t…

Replacing the vector with two components that add to form the…

Vector quantities

Have both magnitude and direction, such as Displacement, Veloc…

Vector

represented by an arrow whose length represents the magnitude…

magnitude of vector AB

Vector

Component form

One Newton

√[ (x₂-x₁)²+(y₂-y₁)² ]

quantity with both magnitude and direction oh yah!

Expressing a vector as change in x-direction and change in y-d…

Force needed to bring a 1 kg mass to a speed of 1 meter per se…

magnitude of vector AB

√[ (x₂-x₁)²+(y₂-y₁)² ]

Vector

quantity with both magnitude and direction oh yah!

Vector quantities

Vector

Resultant of two vectors

Resolving a vector

Have both magnitude and direction, such as Displacement, Veloc…

represented by an arrow whose length represents the magnitude…

Adding the vectors tail-head-tail-head; vector diagram drawn t…

Replacing the vector with two components that add to form the…

Vector quantities

Have both magnitude and direction, such as Displacement, Veloc…

Vector

represented by an arrow whose length represents the magnitude…

Magnitude

Scalar

Vector

Vectors

A numerical value with units

A quantity that only has magnitude and no direction

A quantity that has both magnitude and direction

Can be resolved into x- & y-components using right triangle tr…

Magnitude

A numerical value with units

Scalar

A quantity that only has magnitude and no direction

Vector

Scalar

Magnitude

Quantity

An arrow representing both the magnitude and direction of a qu…

This type of quantity has only magnitude, not direction.

The absolute size of a quantity, ignoring other details like s…

A value or the variable that represents a value.

Vector

An arrow representing both the magnitude and direction of a qu…

Scalar

This type of quantity has only magnitude, not direction.

Vector

Magnitude/Scalar

Equivalent Vector

Component Form

A quantity of both magnitude and direction

Distance, Velocity, Acceleration, Force are examples of this.

Vectors with the same magnitude and direction

An equivalent vector starting at the origin

Vector

A quantity of both magnitude and direction

Magnitude/Scalar

Distance, Velocity, Acceleration, Force are examples of this.

Adding Vectors (parallel)

Adding Vectors (anti-parallel)

Adding Vectors (perpendicular)

Adding Vectors (not at 90°)

Where two vectors are parallel you just add them together to f…

Where two vectors are anti-parallel (same line, opposite direc…

Perpendicular vectors at right angles to each other can be use…

Use Cosine/Sine rule (trig).

Adding Vectors (parallel)

Where two vectors are parallel you just add them together to f…

Adding Vectors (anti-parallel)

Where two vectors are anti-parallel (same line, opposite direc…