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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.

User Guide

Welcome to nubtrek.

The content is presented in small-focused learning units to enable you to
think,
figure-out, &
learn.

Just keep tapping (or clicking) on the content to continue in the trail and learn.

User Guide

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

nub,

trek,

jogger,

exercise.

User Guide

nub is the simple explanation of the concept.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about.

User Guide

trek is the step by step exploration of the concept.

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step.

User Guide

jogger provides the complete mathematical definition of the concepts.

This captures the essence of learning and helps one to review at a later point. The reference is available in pdf document too. This is designed to be viewed in a smart-phone screen.

User Guide

exercise provides practice problems to become fluent in the concepts.

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge.

summary of this topic

Voice

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Home

Vector Addition : Component form

»  individual components add
→  r_x = p_x+q_x
→  r_y = p_y+q_y
→  r_z = p_z+q_z

### Vector Addition in Component form

plain and simple summary

nub

plain and simple summary

nub

dummy

When vectors in the component form are added, the corresponding components are added.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, learn how two vectors in component form add up.

Keep tapping on the content to continue learning.
Starting on learning "Component form of vector addition". ;; In this page, you will learn how two vectors in component form add up.

What is the component form of a vector?

• components along x, y, and z axes
• magnitude of the vector
• directional cosines of vector

Answer is 'components along x, y, and z axes'

In the component form, two vectors are considered a i and p i. What is the result of addition of two vectors a i and p i ?

• (a+p)i
• cannot be added.

Answer is '(a+p)i'.
The magnitudes add up as two vectors are in the same direction i , that is, along x-axis.

What is the result of addition of two vectors ai+bj and p i ?

• (a+p)i+bj
• cannot be added, as the vectors are in different directions.

Answer is '(a+p)i+bj'. The magnitudes add up along the directions in parallel and the directions in perpendicular are kept separately. In this problem, in the direction of x-axis, a i and p i are given. They are added in magnitude.

What is the result of addition of two vectors a i+b j+c j and p i+q j+r k ?

• (a+p)i+(b+q)j+(c+r)k
• cannot be added, as the vectors are in different directions.

Answer is '(a+p)i+(b+q)j+(c+r)k'. The magnitudes add up along the directions in parallel and the directions in perpendicular are kept separately. In these two vectors, the components along the three axes are given in component form.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Addition of two vectors: When two vectors vec p = p_x i+p_yj+p_zk and vec q = q_x i+q_yj+q_zk are added the result is vec p + vec q = (p_x+q_x)i + (p_y+q_y)j + (p_z+ q_z)k

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Progress

Progress

What is the component form of a vector?
components;along;x;y;z;axes
components along x, y, and z axes
magnitude
magnitude of the vector
directional;cosines
directional cosines of vector
Answer is 'components along x, y, and z axes'
In the component form, two vectors are considered a i and p i . What is the result of addition of two vectors a i and p i ?
1
2
Answer is '(a+p) i'. ;; The magnitudes add up as two vectors are in the same direction i , that is, along x-axis.
What is the result of addition of two vectors ai+bj and p i ?
1
2
Answer is ' (a+p)i+bj '. The magnitudes add up along the directions in parallel and the directions in perpendicular are kept separately. In this problem, in the direction of x-axis, a i and p i are given. They are added in magnitude.
What is the result of addition of two vectors a i+b j+c j and p i+q j+r k ?
1
2
Answer is ' (a+p)i+(b+q)j+(c+r)k '. The magnitudes add up along the directions in parallel and the directions in perpendicular are kept separately. In these two vectors, the components along the three axes are given in component form.
When vectors in the component form are added, the corresponding components are added.
Addition of two vectors: When two vectors p = p x i+p y j+p z k and vector q = q x i+q y j+q z k are added the result is vector p + vector q = (p x+q x)i + (p y+q y)j + (p z+ q z)k

we are not perfect yet...