HP 48g Graphing Calculator - Manual (Page 161)

Additional commands for manipulating vectors and elements of vectors
are covered in chapter 14.
Examples: Calculating with 2D and 3D Vectors
To calculate with vectors:
■ Enter the vectors on the stack, then execute the command.
Example: Finding the Unit Vector. A unit vector parallel to a given
vector is found by dividing a vector by its magnitude:
V
n = 7 --
13
1. Enter the vector.
2. Duplicate the vector (press
(ENTER
) a second time).
3. Press f
MTH
] V E C T R HE'S to compute the magnitude of the
vector.
4. Press (T) to divide the vector by its magnitude to get the unit
vector.
Example: Finding the Angle between Vectors. The angle between
two vectors is given by
angle , - i
VI V2
Wn
|V2|
1. Enter the two vectors onto the stack.
2. Press (MTH) V E C T R D O T to take the dot (inner) product.
3. Press (S( a MD to return the two vectors to the stack.
4. Press HBS
(SWAP
) HES to find the magnitude of each
vector.
5. Press (2 to multiply the magnitudes.
6. Press
0
to divide the product of the magnitudes into the dot
product.
7. Press f^iACOS) to find the angle between the vectors.
Vectors and Transforms 13-5