How do we determine x, y and z coordinate system?

Any coordinate direction is acceptable

What does position vector tell us?

One of ways to find unit vector

Location of a point in space relative to another point

Distance between two points in space

Explain unit vector [Choose ALL which applicable]

Shows only the vector's direction

Useful to express force in complete vector form

Find correct concept(s) of dot product between vector A → a n d B → \overrightarrow{A}\ and\ \ \overrightarrow{B}\ A <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> a n d B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> [Choose ALL which applicable]

Expressed as C = A → ⋅ B → C=\overrightarrow{A}\cdot\overrightarrow{B} C = A <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ⋅ B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

\theta θ is the angle between the two vectors

Can be applied to find parallel and perpendicular components of the vector to a line

Expressed as C = A B sin ⁡ θ C=AB\sin\ \theta C = A B sin θ

Chapter 2 Force Vectors [STATICS]

Authored by ADIB ROSLI

Mathematics, Physics

University - Professional Development

CCSS covered

Used 2+ times

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11 questions

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MULTIPLE SELECT QUESTION

45 sec • 1 pt

"Force is a type of vector."
What are the significances of this statement
[Choose ALL which applicable]

It has only magnitude

It has only direction

It has both magnitude AND direction

It requires special notations

It can be expressed in the form of vector components

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

How to find a resultant of vectors?

Using cuboid law

Using Newton's law

Using parallelogram law AND/OR triangle method

Do nothing

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What does it mean by coplanar forces?

All forces lying on the same plane

All lines of action of forces intersect at a common point

These forces are in space (three dimensional)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which one is NOT among steps to find the resultant of coplanar forces?

Resolve into x and y components

Addition by scalar algebra of respective components

Find magnitude and angle of the resultant

Sum up each force magnitude in scalar form

Tags

CCSS.HSN.VM.A.3

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Choose ALL correct explanation(s) of Cartesian vectors

The vectors are in space (3D)

Represented by x-y-z axis system

Represented by only x-y axis system

Has similar addition and subtraction rules as in 2D coplanar

Tags

CCSS.HSN.VM.A.1

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

In both cases of coplanar and Cartesian, where should the origin (0,0,0) be located?

At the tip of force vector

At the tail of force vector

In the middle of force vector

Anywhere is acceptable

Tags

CCSS.HSN.VM.A.1

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

How do we define coordinate direction angles ( $\alpha,\ \beta\ and\ \gamma$ ) in Cartesian vectors?

Between the vector and POSITIVE x, y and z axis respectively

Between the vector and NEGATIVE x, y and z axis respectively

Between the vector and either POSITIVE OR NEGATIVE x, y and z axis respectively

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Chapter 2 Force Vectors [STATICS]

"Force is a type of vector."What are the significances of this statement[Choose ALL which applicable]

How to find a resultant of vectors?

What does it mean by coplanar forces?

Which one is NOT among steps to find the resultant of coplanar forces?

Choose ALL correct explanation(s) of Cartesian vectors

In both cases of coplanar and Cartesian, where should the origin (0,0,0) be located?

How do we define coordinate direction angles ( α, β and γ\alpha,\ \beta\ and\ \gammaα, β and γ ) in Cartesian vectors?

How do we determine x, y and z coordinate system?

What does position vector tell us?

Explain unit vector[Choose ALL which applicable]

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Discover more resources for Mathematics

"Force is a type of vector."
What are the significances of this statement
[Choose ALL which applicable]

How do we define coordinate direction angles ( $\alpha,\ \beta\ and\ \gamma$ ) in Cartesian vectors?

Explain unit vector
[Choose ALL which applicable]