HP 33s 15–2, v2=U i + V j + W k, v1 = X i + Y j + Z k and, 15–2 Mathematics Programs

Vector addition and subtraction:

v1 + v2 = (X + U)i + (Y + V)j + (Z + W)k v2 – v1 = (U – X)i + (V – Y)j + (W – Z)k

Cross product:

v1 ⋅ v2 = (YW – ZV )i + (ZU – XW)j + (XV – YU)k

Dot Product:

D = XU + YV + ZW

Angle between vectors (γ):

D

G = arccos R1 ⋅ R2

where

v1 = X i + Y j + Z k andv2=U i + V j + W k

The vector displayed by the input routines (LBL P and LBL R) is V1.

15–2Mathematics Programs