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User Guide

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summary of this topic

### Vectors and Coordinate Geometry

Voice

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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

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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

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
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"

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