Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

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

### Vectors and Coordinate Geometry

Voice

Voice

Home

Position Vector of a Point

»  For a point P(a,b,c) the position vector is vec(OP) = ai+bj+ck

### Position Vector of a Point

plain and simple summary

nub

plain and simple summary

nub

dummy

Position Vector of a Point is the vector between origin and the point.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

Support Nubtrek

You are learning the free content, however do shake hands with a coffee to show appreciation.
To stop this message from appearing, please choose an option and make a payment.

In this page, you will learn about position vector of a point. This concept connects vector algebra and coordinate geometry.

Keep tapping on the content to continue learning.
Starting on learning "Position vector of a point". ;; In this page, you will learn about position vector of a point. This concept connects vector algebra and coordinate geometry.

Consider a point P in 3D coordinate system as shown in figure. What describes the point P?

• (a,b,c)
• ai+bj+ck
• vec(OP)
• all the above

Answer is 'all the above'. It is understood as

***  in 3D coordinates it is (a,b,c)

***  as a vector representation ai+bj+ck

***  as the vector vec(OP)

What does the word 'position' mean?

• place; location
• positive; desirable

Answer is 'place; location'.

Given a point P (a,b,c) as shown in figure. Position vector of a point P (a,b,c) is
vec(OP)=ai+bj+ck

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Position Vector: For a point P (a,b,c) the position vector is
vec(OP)=ai+bj+ck.

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

What is the position vector of point (2,-3/4)?

• 2i-3j+4k
• 2i-3/4j
• 2i
• -3/4j

Answer is '2i-3/4j'.

Given the vector vec(OP) = 3i-1.4j+2.5k, if O is the origin, what is the coordinate position of point P?

• 3-1.4+2.5
• (3,-1.4,2.5)
• (0,0,0)
• sqrt(3^2+1.4^2+2.5^2)

Answer is '(3,-1.4,2.5)'

What is the position vector of point (0,-2.1,3.4)?

• i-2.1j+3.4k
• -2i+3.4k
• -2.1j+3.4k
• -2.1j, 3.4k

Answer is '-2.1j+3.4k'.

Progress

Progress

Consider a point P in 3D coordinate system as shown in figure. What describes the point P?
1
2
3
4
The answer is "all the above". It is understood as ;; in 3D coordinates it is a, b, c. ;; as a vector representation a i + b j + c k ;; as the vector O P.
What does the word 'position' mean?
place;location
place; location
positive;desirable
positive; desirable
Answer is 'place; location'.
Given a point P a, b, c as shown in figure. Position vector of a point P a, b, c is vector O P = a i + b j + c k.
Position Vector of a Point is the vector between origin and the point.
Position Vector: for a point P ; a, b, c, the position vector is O P = a i + b j + c k.
What is the position vector of point 2, minus 3 by 4 ?
1
2
3
4
The answer is "2 i minus 3 by 4 j"
Given the vector O P = 3 i minus 1 point 4 j + 2 point 5 k, if O is the origin, what is the coordinate position of point p?
1
2
3
4
The answer is "3, minus 1 point 4, 2 point 5"
What is the position vector of point 0, minus 2 point 1, 3 point 4?
1
2
3
4
The answer is "minus 2 point 1 j + 3 point 4 k"

we are not perfect yet...