Calculating The Angle Between Two Vectors - Casio fx-9860GII Instructions Manual

Press OPTN LIST |
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
⎜ ⎟ ⎜ ⎟
= −
−
3
1 2
·
⎜ ⎟ ⎜ ⎟
⎜ ⎟
⎜ ⎟
−
4 1
⎝ ⎠ ⎝ ⎠

4.2 Calculating the angle between two vectors

The angle θ between two vectors a
a b
arccos
a b
Example 39
Calculate the angle between 2
Press SET UP.
SHIF T
Select either Deg or Rad using
EXE
Press .
b /
Press (cos −1 ) to select the fraction template.
SHIF T
a c
Press OPTN LIST |
F1
Enter the vectors as lists using curly brackets { }. Separate the terms of the
vectors using commas.
Multiply the two vector lists together.
To calculate the magnitudes of the vectors use the formula
+ = +
2 2
i j
a b a b
© Oxford University Press 2012: this may be reproduced for class use solely for the purchaser's institute
F6 | | F1 Sum.
F6
.
ENTER
b
and , can be calculated using the formula
+
− .
i j and 3 i j
3
F1 or F2 .
F6 | F6 | F1 Sum.
Casio fx-9860GII
{
Continued on next page
Using a graphic display calculator 38