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CIS-277 Data structure T: Two-dimensional Vector Programming Assionment : T DATA TYPE CADT): Two-dimensional vector There are many applications in mathematics, engineering, phy finance, etc. in which the underlying model is a two dimensi The general form of an two-dimensional vector is: where: and b are each a real number. Example:2.45, -2.78) The following are some of the operations that are frequentl applications that involve two-dimensional vectors: vectors: v2=(c, d ) scalar vector addition: v1 + v2 = ( a + c, b+d) 1. 2. vector subtraction: v1 v2a -c b d) 3. scalar multiple: k v1 - k ak b) 4 scalar product: Also called : dot product or inner Produc t . 5. magnitude (length) of a vector: 2 2 1/2 Note: the result obtained from the scalar product and mas operations is a scalar value (not another vector). IMPLEMENTATION OF THE ADT In order to implement this ADT in a programming language to first select an appropriate data structure. The ADT repr esented as: struct VECTOR ( double x

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