Dot product, Cross product, Math – HP 49g Graphing Calculator User Manual
Page 161: Vector, Cross
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Dot product
The dot product of two vectors of equal dimensions is the smu of the
products of each corresponding pair of elements. The dot product is also
Imown as the inner or scalar product.
To find the dot product of [2 -3 4] and [-1 2 8]:
1. Press 0(MTH)
to
select the
MATH
menu.
2. Press
OK
or to select the
VECTOR
menu.
3. Press ® to highlight the
DOT
command and press
OK
or (ENTER).
4. Press 00 to enter a pair of square brackets to enclose the first
vector.
5. Enter2 0 O 3 © 0 O 4 .
6. Press ® to move your cursor outside the square brackets, thereby
indicating that the first vector is complete.
7. Pi-ess 0 O to indicate the end of the first argument.
8. Press 0 0 to enter a pair of square
brackets to enclose your second vector.
9. Enter 1 0 0 0 2 0 0 8.
10. Press (ENTER) to return the dot product of
the two vectors, in this case, 24.
fiUD KVZ HEK ft= 'K'
EHDHEi____________
: D0TCC2
i 43..C-1 2 81)
HEaEiisnaEaKiHBEi
Cross product
For two vectors [a b c] and [d ef], the cross product is [(bf- ce) (cd - af)
(ae - bd)]. The cross product of two vectors is also known as the vector
product or outer product.
To find the cross product of [2 3 4] and [15 6]:
1. Press 0(MTH) to select the
MATH
menu.
2. Press
OK
or (STER) to select the
VECTOR
menu.
3. Press @ twice to highlight the
CROSS
command and press
OK
or (PffER).
4. Enter the two vectors, separating them
with a comma.
5. Press (ENT0 to return the cross product of
RHD KV2 HEK F,=
EHdHEl_________
the two vectors, in this case, [-2 -8 7].
:CR0SS(C2 3 4W1 5 61)
C-2 -8 71
Vectors, lists, arrays, and matrices
Page 8-5