Point r on Line Calculator

✖Point a is that point which is passing a line that is touched by the point r. Its respective coordinate gets added to the coordinate of vector b to give the point r.ⓘ Point a [a]			+10% -10%
✖Lambda is a constant value that is multiplied with the respective coordinate points of vector b, which is later added to the respective coordinate of point a to give point r on a line.ⓘ Lambda [λ]			+10% -10%
✖Point b is the respective coordinate of vector b. Vector b is parallel to the point r on a line.ⓘ Point b [n_trials]			+10% -10%

✖Point r on Line is that point r in a certain coordinate if it lies on the line passing through a point a and is parallel to the vector b.ⓘ Point r on Line [r]

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Point r on Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Point r on Line = Point a+Lambda*Point b
r = a+λ*n_trials
This formula uses 4 Variables

Variables Used

Point r on Line - Point r on Line is that point r in a certain coordinate if it lies on the line passing through a point a and is parallel to the vector b.
Point a - Point a is that point which is passing a line that is touched by the point r. Its respective coordinate gets added to the coordinate of vector b to give the point r.
Lambda - Lambda is a constant value that is multiplied with the respective coordinate points of vector b, which is later added to the respective coordinate of point a to give point r on a line.
Point b - Point b is the respective coordinate of vector b. Vector b is parallel to the point r on a line.

STEP 1: Convert Input(s) to Base Unit

Point a: 8 --> No Conversion Required
Lambda: 3.5 --> No Conversion Required
Point b: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = a+λ*n_trials --> 8+3.5*7

Evaluating ... ...

r = 32.5

STEP 3: Convert Result to Output's Unit

32.5 --> No Conversion Required

FINAL ANSWER

32.5 <-- Point r on Line

(Calculation completed in 00.004 seconds)

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Credits

Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

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Point r on Line Formula

LaTeX Go

Point r on Line = Point a+Lambda*Point b
r = a+λ*n_trials

What is point on a line?

The point on a line is dictated by the coordinate of the point we want to know. With respect to the given coordinate, we want to know we take the respective coordinate values from point a and vector b. The point lies on the line passing through point a and parallel to the vector b.

How to Calculate Point r on Line?

Point r on Line calculator uses Point r on Line = Point a+Lambda*Point b to calculate the Point r on Line, Point r on line is that point r in a certain coordinate if it lies on the line passing through a point a and is parallel to the vector b. Point r on Line is denoted by r symbol.

How to calculate Point r on Line using this online calculator? To use this online calculator for Point r on Line, enter Point a (a), Lambda (λ) & Point b (n_trials) and hit the calculate button. Here is how the Point r on Line calculation can be explained with given input values -> 32.5 = 8+3.5*7.

FAQ

What is Point r on Line?

Point r on line is that point r in a certain coordinate if it lies on the line passing through a point a and is parallel to the vector b and is represented as r = a+λ*n_trials or Point r on Line = Point a+Lambda*Point b. Point a is that point which is passing a line that is touched by the point r. Its respective coordinate gets added to the coordinate of vector b to give the point r, Lambda is a constant value that is multiplied with the respective coordinate points of vector b, which is later added to the respective coordinate of point a to give point r on a line & Point b is the respective coordinate of vector b. Vector b is parallel to the point r on a line.

How to calculate Point r on Line?

Point r on line is that point r in a certain coordinate if it lies on the line passing through a point a and is parallel to the vector b is calculated using Point r on Line = Point a+Lambda*Point b. To calculate Point r on Line, you need Point a (a), Lambda (λ) & Point b (n_trials). With our tool, you need to enter the respective value for Point a, Lambda & Point b and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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