HP 35S Scientific 35s 3, 3, Dot product, Keys:, Keys:, Display:, Description:, Display:Description:, 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]

Keys:	Display:	Description:
9()		Switches to ALG mode
3	_	Enters the first vector [1,2]
  	
Õ
3		Executes for dot product,
		and enters the second vector
		The dot product of two
		vectors is 11

￿Calculate the dot product of two vectors, [9,5] and [2.2]

Keys:

9()

3



3

Display:Description:

Switches to RPN mode

 Enters the first vector [9,5]



 and enters the second vector

[2,2]

10-4Vector Arithmetic