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10-4 Vector Arithmetic
Dot product
Function DOT is used to calculate the dot product of two vectors with the same
length. Attempting to calculate the dot product of two vectors of different length
causes an error message “ ”.
For 2-D vectors: [A, B], [C, D], dot product is defined as [A, B][C, D]= A x C +B x
D.
For 3-D vectors: [A, B, X], [C, D,Y], dot product is defined as [A, B, X][C, D, Y]= A
x C +B x D+X x Y
1. Enter the first Vector
2. Press
3. Enter the second vector
4. Press
Note: The sign, ,here means ”dot product” instead of “cross product”. For cross
product, see chapter 17.
Calculate the dot product of two vectors, [1,2] and [3,4]
Calculate the dot product of two vectors, [9,5] and [2.2]
Keys: Display: Description:
9()
Switches to ALG mode
3
Õ
Enters the first vector [1,2]
3
Executes for dot product,
and enters the second vector
The dot product of two
vectors is 11
Keys: Display: Description:
9()
Switches to RPN mode
3
Enters the first vector [9,5]
3
and enters the second vector
[2,2]