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Solve in C programming language. A point in three-dimensional space can be represented as p= vi+yj + zk, where r is the component of p

Solve in C programming language. image text in transcribed

A point in three-dimensional space can be represented as p= vi+yj + zk, where r is the component of p in the r direction, y is the component of p in the y direction, and 2 is the component of p in the z direction. Such a point can be written as a vector, or one-dimensional array (r, y, z). The dot product of two vectors p1 = (21,41, 21) and P2 = (12, 72, 72) is given by, P1 P2 = 21.22 + y1 y2 + 2122. = p.p. The length of a vector ||P|| is defined by ||P|| = x2 + y2 + x2 The cross product of p, and P2 is given by, P1 x P2 = (1122 4221){ +(7112 22:21)j + (2142 - D2y)k. The angle 6 between two vectors p1 and p2 can be computed using the relationship, P1 P2 cos ||p1||||p2|| Write a C program to ask the user to input values for two three-dimensional vectors, and compute and display their dot product and cross product, as well as the angle between the two vectors. You should include separate functions for the dot product, the cross product, and the length of a vector. The length function should make use of the dot product function

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