Matlab.

Angles between two vector is given by

Direction.txt contains:

1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 2 1 2 1 1 1 1 2 1 1 3 3 1 1 1 3 1 2 2 1 1 2 2 2 1 2 3 3 1 1 3 3 3 1 3 4 1 1 1 1 4 1 4 1 4 4 1 1 4 4 4 1 4

2.) Angles between two vector is given by dot (A, B) cos()sqrt(A) sqrt(B) Where A and B are two vectors and x is the angle between them. Write a matlab script to read all vectors from a file (direction.txt has 23 vectors) and calculate angle between [100] direction and directions in the file. Use load direction.txt to load all the vectors into a variable. Use acosd inbuilt matlab function to calculate inverse of cos. Use inbuilt matlab function dot to calculate dot product between two vectors. (25 pts) (a) How many vectors makes an angle less than 30 with [100] vector? (b) How many vectors makes an angle more than 30 and less than 60 with [100] vector? How many vectors makes an angle more than 60 with [100] vector? (c) 2.) Angles between two vector is given by dot (A, B) cos()sqrt(A) sqrt(B) Where A and B are two vectors and x is the angle between them. Write a matlab script to read all vectors from a file (direction.txt has 23 vectors) and calculate angle between [100] direction and directions in the file. Use load direction.txt to load all the vectors into a variable. Use acosd inbuilt matlab function to calculate inverse of cos. Use inbuilt matlab function dot to calculate dot product between two vectors. (25 pts) (a) How many vectors makes an angle less than 30 with [100] vector? (b) How many vectors makes an angle more than 30 and less than 60 with [100] vector? How many vectors makes an angle more than 60 with [100] vector? (c)