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Vector Calculations (VCT) (fx-570MS/fx-991MS only)

Use the key to enter the VCT Mode when you want to perform vector calculations.

  • (VCT)

Use the VCT Mode to perform 2-dimensional and 3-dimensional vector calculations. To perform a vector calculation, you first assign data to special vector variables (VctA, VctB, VctC), and then use the variables in the calculation as shown in the example below.


Example 1: To assign (1, 2) to VctA and (3, 4) to VctB, and then perform the following calculation: (1, 2) + (3, 4)

1. Press (VCT)(Dim)(A).

2. Input the dimensions of VctA: 2.

This will display the Vector Editor for input of the 2-dimensional vector for VctA.

(1) Dimensions of vector
(2) Arrow indicates direction you should scroll to view other elements.

3. Input the elements of VctA: 12.

4. Perform the following key operation: (VCT)(Dim)(B) 2.

This will display the Vector Editor for input of the 2-dimensional vector for VctB.

5. Input the elements of VctB: 34.

6. Press to advance to the calculation screen, and perform the calculation (VctA + VctB): (VCT)(Vct)(A)(VCT)(Vct)(B).

This will display the VctAns screen with the calculation results.

Note: "VctAns" stands for "Vector Answer Memory". See "Vector Answer Memory" for more information.

Vector Answer Memory

Whenever the result of a calculation executed in the VCT Mode is a vector, the VctAns screen will appear with the result. The result also will be assigned to a variable named "VctAns".


The VctAns variable can be used in calculations as described below.

To insert the VctAns variable into a calculation, perform the following key operation: (VCT)(Vct)(Ans).

Pressing any one of the following keys while the VctAns screen is displayed will switch automatically to the calculation screen: , , , . The calculation screen will show the VctAns variable followed by the operator for the key you pressed.

Assigning and Editing Vector Variable Data

Important: The following operations are not supported by the Vector Editor: , (M-), (STO). Pol, Rec, and multi-statements also cannot be input with the Vector Editor.


To assign new data to a vector variable:

1. Press (VCT)(Dim), and then, on the menu that appears, select the vector variable to which you want to assign data.

2. On the next menu that appears, input the dimensions.

3. Use the Vector Editor that appears to input the elements of the vector.

Example 2: To assign (2, -1, 2) to VctC

  • (VCT)(Dim)(C)3
    212

To edit the elements of a vector variable:

1. Press (VCT)(Edit), and then, on the menu that appears, select the vector variable you want to edit.

2. Use the Vector Editor that appears to edit the elements of the vector.

Use the and keys to display the element you want to edit. Input a new value and then press .

Vector Calculation Examples

The following examples use VctA = (1, 2) and VctB = (3, 4) from Example 1, and VctC = (2, -1, 2) from Example 2. You can input a vector variable into a key operation by pressing (VCT)(Vct) and then pressing one of the following number keys: (A), (B), (C).


Example 3: 3 × VctA = (3, 6) (Vector scalar multiplication), 3 × VctA - VctB = (0, 2) (Calculation example using VctAns)

  • 3 VctA
  • VctB

Example 4: VctA • VctB (Vector dot product)

  • VctA (VCT)(Dot) VctB

Example 5: VctA × VctB = (0, 0, -2) (Vector cross product)

  • VctA VctB

Example 6: Obtain the absolute values of VctC.

  • (Abs) VctC

Example 7: Determine the angle formed by VctA and VctB to three decimal places (Fix 3). (Angle unit: Deg) (, which becomes )

  • ・・・・・(Fix) VctA (VCT)(Dot) VctB
    (Abs) VctA (Abs) VctB

  • (cos-1)
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