Vectors Scalar Product; Calculating A Scalar Product - Casio fx-9860GII Instructions Manual

F5
Press G-Solv | F6
The calculator prompts you to enter the lower limit for the integral.
EXE
Type –1 and press .
(–)
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:
⎛ ⎞ −
⎛ ⎞
1
3
a
⎜ ⎟
⎜ ⎟
·
⎝ 3 ⎠
⎝ 4 ⎠
MENU
Press . You will see the dialog box as shown on the right.
Choose 1: RUN·MAT and press
Press LIST |
OPTN F1
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
−
⎛ ⎞ ⎛ ⎞
1
3
=
9
⎜ ⎟ ⎜ ⎟
·
⎝ 3 ⎠ ⎝ 4 ⎠
© Oxford University Press 2012: this may be reproduced for class use solely for the purchaser's institute
| F3 ∫dx.
Since the area lies below
the x-axis in this case, the
integral is negative.
⎛ ⎞ ⎛ ⎞
1 3
⎜ ⎟ ⎜ ⎟
b −
1 2
⎜ ⎟ · ⎜ ⎟
⎜ ⎟ ⎜ ⎟
−
⎝ 4 ⎠ ⎝ 1 ⎠
EXE
.
F6 | | F1 Sum.
F6
.
ENTER
Casio fx-9860GII
There is no scalar product
function on the Casio GDC,
but you can fi nd the result
by multiplying the vectors
as lists and then fi nding the
sum of the terms in the list.
{
Continued on next page
Using a graphic display calculator 37