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Calculate a Vector From Two Points (CAL Command)
The functions vec and vec1 calculate a vector from two points.
- vec(p1,p2)
-
Provides the vector from point p1 to point p2.
- vec1(p1,p2)
-
Provides the unit vector from point p1 to point p2.
The following example uses CAL to move selected objects 3 units in the direction from
the center of one selected circle to the center of another selected circle:
Command: move
Select objects
Specify base point or displacement: ‘cal
Expression: 3*vec1(cen,cen)
Select entity for CEN snap: Specify a circle or an arc
Specify second point of displacement or <use first point as displacement: Specify a point or press Enter
The following examples illustrate the meaning of vector and point calculations.
|
Examples of vector and point calculations |
|
|---|---|
|
Expression |
Meaning |
|
vec(a,b) |
Determines vector translation from point a to point b. |
|
vec1(a,b) |
Determines unit vector direction from point a to point b. |
|
L*vec1(a,b) |
Determines vector of length L in the direction from point a to point b. |
|
a+v |
Determines point b, which is a translation of the point a through vector v. |
|
a+[5<20] |
Determines point b located 5 units away from point a at an angle of 20 degrees. Note that [5<20] is a vector in polar coordinates. |
e functions vec and vec1 calculate a vector from two points. vec(p1,p2) Provides the vector from point p1 to point p2. vec1(p1,p2) Provides the unit vector from …vector starts at a specific point then moves 2 units to the left and 5 units … Example 2 Determine the magnitude of each of the following vectors.calculator help you to find vector components (vector coordinates ) through two points (initial and terminal points) very simply. Using this online …calculation …Determine a unit vector that points in the same direction as a = [3, 2]. … The dot product of a and b can be found by using the command dotP, which is in the Math Matrix :Vector ops … Finding the Formula for Dot Products on your Calculator.… Get the free "Finding a Vector in 3D from Two Points" widget for your website, blog, WordPress, Blogger, or iGoogle. Find more Physics widgets …