The greater-than symbol > denotes vectors. For example, to multiply 2 by the zero vector and assign the result, type
twoTimesZeroVector> = 2 * 0>
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To create right-handed orthogonal unit vectors Ax>, Ay>, Az>
fixed in a reference frame A, type
RigidFrame A
Note: For right-handed orthogonal unit vectors Bx>, By>, Bz>
fixed in a rigid body B, type RigidBody B |
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Subsequently, other vectors may be defined in terms of Ax>, Ay>, Az>, e.g.,
v> = 2*Ax> + 3*Ay> + 4*Az> w> = 6*Ax> + 7*Ay> + 8*Az> % or w> = Vector( A, 6, 7, 8 )
To multiply the vector v> by 5, type
vFive> = 5 * v>
To add vectors v> and w>, type
addVW> = v> + w>
To dot-multiply v> with w>, type
Note: Since dotVW
is a scalar, it does not end with the > symbol.
dotVW = Dot( v>, w> )
To cross-multiply v> with w>, type
Note: Commands may be nested, e.g., crossWWV> = Cross( w>, Cross(w>,v>) )
crossVW> = Cross( v>, w> )
To find the magnitude or magnitude-squared of v>, type
magV = GetMagnitude( v> ) magVSquared = GetMagnitudeSquared( v> )
To find the unit vector in the direction of v>, type
unitV> = GetUnitVector( v> )
To find the radian-measure of the angle between v> and w>, type
angleBetweenVW = GetAngleBetweenVectors( v>, w> )
To find the ordinary time-derivative of the vector t*v> + sin(t)*w>, in reference frame A, type
vectorDerivative> = Dt( t*v> + sin(t)*w>, A )
To save input (for subsequent re-use) and/or
input and output responses, type
Save VectorSampleCommands.txt
Save VectorSampleCommands.html
Exit the program by typing Quit.