Casio fx-9860GII - Vectors; 4.1 Calculating a scalar product

Using a graphic display calculator
© Oxford University Press 2012: this may be reproduced for class use solely for the purchaser’s institute
Casio fx-9860GII
Press
F5
G-Solv |
F6
|
F3
∫dx.
The calculator prompts you to enter the lower limit for the integral.
Type –1 and press
EXE
.
Be sure to use the
(–)
key.
The calculator prompts you to enter the upper limit for the integral.
Type 1 and press
EXE
.
The area found is shaded and the value of the integral (–8) is shown on
the screen.
The required area is 8.
4 Vectors
Scalar product
4.1 Calculating a scalar product
Example 38
Evaluate the scalar products:
a
1
3
⎛
⎝
⎜
⎞
⎠
⎟
·
−
⎛
⎝
⎜
⎞
⎠
⎟
3
4
b
1
1
4
−
⎛
⎝
⎜
⎜
⎜
⎞
⎠
⎟
⎟
⎟
·
3
2
1−
⎛
⎝
⎜
⎜
⎜
⎞
⎠
⎟
⎟
⎟
Press
MENU
. You will see the dialog box as shown on the right.
Choose 1: RUN·MAT and press
EXE
.
Press
OPTN
F1
LIST |
F6
|
F6
|
F1
Sum.
Enter the vectors as lists using curly brackets { }. Separate the terms of
the vectors using commas.
Multiply the two vector lists together.
Close the bracket and press
ENTER
.
1
3
⎛
⎝
⎜
⎞
⎠
⎟
·
−
⎛
⎝
⎜
⎞
⎠
⎟
=
3
4
9
Since the area lies below
the x-axis in this case, the
integral is negative.
There is no scalar product
function on the Casio GDC,
but you can  nd the result
by multiplying the vectors
as lists and then  nding the
sum of the terms in the list.
{ Continued on next page
37