Vector
Product and Scalar Triple Product
Use the “right hand rule” to
rotate the vector U into V.
The resultant of this product is a new vector, W, perpendicular to U and V.
i j
k W = U
x
V = det 3 4
5
1 -2
-3 4 5 3 5 3 4 U x V = i det - j det + k det -2 -3 1 -3 1 -2 U x V =
i [ (4)(-3) – (-2)(5)] - j [ (3)(-3) – (1)(5)] + k [ (3)(-2) – (1)(4)] W =
- 2 i
+ 14
j -
10 k (result for vector product) Note: W is a new vector that is
perpendicular to vectors U and
V so the dot product of W with both
U and V
should be zero.
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with vector products |
Copyright © 2017 Richard C. Coddington
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