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Vector products: Difference between revisions
add Scala
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Line 1,950:
a dot (b cross c) = 6
a cross (b cross c) = Vector[-267, 204, -3]</pre>
=={{header|Scala}}==
<lang scala>case class Vector3D(x:Double, y:Double, z:Double) {
def dot(v:Vector3D):Double=x*v.x + y*v.y + z*v.z;
def cross(v:Vector3D)=Vector3D(y*v.z - z*v.y, z*v.x - x*v.z, x*v.y - y*v.x)
def scalarTriple(v1:Vector3D, v2:Vector3D)=this dot (v1 cross v2)
def vectorTriple(v1:Vector3D, v2:Vector3D)=this cross (v1 cross v2)
}
object VectorTest {
def main(args:Array[String])={
val a=Vector3D(3,4,5)
val b=Vector3D(4,3,5)
val c=Vector3D(-5,-12,-13)
println(" a . b : " + (a dot b))
println(" a x b : " + (a cross b))
println("a . (b x c) : " + (a scalarTriple(b, c)))
println("a x (b x c) : " + (a vectorTriple(b, c)))
}
}</lang>
{{out}}
<pre> a . b : 49.0
a x b : Vector3D(5.0,5.0,-7.0)
a . (b x c) : 6.0
a x (b x c) : Vector3D(-267.0,204.0,-3.0)</pre>
=={{header|Scheme}}==
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