Dot product – HP 35s Scientific Calculator User Manual

Page 154

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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]

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