Initial data commit

Task/Vector-products/Elixir/vector-products.elixir

@@ -0,0 +1,21 @@
+defmodule Vector do
+  def dot_product({a1,a2,a3}, {b1,b2,b3}), do: a1*b1 + a2*b2 + a3*b3
+
+  def cross_product({a1,a2,a3}, {b1,b2,b3}), do: {a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1}
+
+  def scalar_triple_product(a, b, c), do: dot_product(a, cross_product(b, c))
+
+  def vector_triple_product(a, b, c), do: cross_product(a, cross_product(b, c))
+end
+
+a = {3, 4, 5}
+b = {4, 3, 5}
+c = {-5, -12, -13}
+
+IO.puts "a = #{inspect a}"
+IO.puts "b = #{inspect b}"
+IO.puts "c = #{inspect c}"
+IO.puts "a . b = #{inspect Vector.dot_product(a, b)}"
+IO.puts "a x b = #{inspect Vector.cross_product(a, b)}"
+IO.puts "a . (b x c) = #{inspect Vector.scalar_triple_product(a, b, c)}"
+IO.puts "a x (b x c) = #{inspect Vector.vector_triple_product(a, b, c)}"