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

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