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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.continue

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figure-out, &

learn.

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Position Vector of a Point

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

*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

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

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`'.

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Progress

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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"