\textbf{A}}| = |\vec{\textbf{B}}| = |\vec{\textbf{C}}|∣A∣=∣B∣=∣C∣. Further, \vec{\textbf{A}} + \vec{\textbf{B}} + \vec{\textbf{C}} = 0A+B+C=0. What is the angle between \vec{\textbf{A}}A and \vec{\textbf{B}}B ?
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|\vec{\textbf{A}}| = |\vec{\textbf{B}}| = |\vec{\textbf{C}}|∣A∣=∣B∣=∣C∣. Further, \vec{\textbf{A}} + \vec{\textbf{B}} + \vec{\textbf{C}} = 0A+B+C=0. What is the angle between \vec{\textbf{A}}A and \vec{\textbf{B}}B ?
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- Choose the correct answer We try to multiply vector a [1 2 3] by vector b[7 9 4 ] by using: * A\ a* b B\ a.*b C\ a*.b D\ none2. Show that matrix multiplication distributes over matrix addition: show A(B + C) = AB+ AC assuming that A, B, and C are matrices of compatible size. 3. Write a function my_is_orthogonal (v1,v2,tol) where v1 and v2 are column vectors of the same size, and tol is a scalar value strictly larger than zero. The output should be 1 if the angle between vl and v2 is within tol of 1/2, that is, |7/2 – 0| < tol, and zero otherwise. You may assume that vl and v2 are column vectors of the same size, and that tol is a positive scalar.Problem 2: Projections The formula to project a vector onto a vector is projw(v) = Let's a function called proj which computes the projection v onto w. def proj(v,w): ***Project vector v onto w. v = ... # should be a numpy array w = ... # should be a numpy array # calculate projection result = ... return result [] proj([1,2,3],[1,1,1]) v W w w -W
- Write a C++ program that will dynamically allocate a 2D array of size MxN, where M and N will be entered by the user. Program should fill the MxN matrix according to the following criteria: Generate random numbers in the range 120 to 340 and fill the diagonal entries in the matrix. Each element in the upper triangular matrix will be calculated by adding its left and bottom neighbor elements. Each element in the lower triangular matrix will be calculated by subtracting the top element from the element on the right. Element in Upper Triangular Matrix = Left Element + Bottom Element Element in Lower Triangular Matrix Right Element - Top Element (A sample 5x5 matrix is filled for you ) 89 500 1100 1955 3886 322 411 600 855 1931 544 -222 189 255 1076 643 99 -123 66 821 70 713 812 689 755 Program will display the filled matrix in tabular form on the screen and delete the dynamically allocated 21 array before terminating.1. Write the code using vpasolve and find the x and y values. (1) ((log(x)/log(3))+3y=13, x^2-2y=1 2. Quadratic square matrix A=[2 3; 1 a], the sum of all elements of A^5 is 2474856. Find the value of the constant a. (a<=100, natural number)Q2} Write program to find multiplication of the vector (x) with vector(y) where: X=[X1 X2 X3 X4..... Xn] X.Y=[X1. y1 + X2. Y2+ X3. y3 + X4. y4 +..... Y=[y1 y2 y3 y4.... Yn ] + Xn. Yn]
- C++ Given an integer matrix of size M × N. Find the number of the first of its columns containing an equal number of positive and negative elements (zero elements of the matrix must be ignored). If there are no such columns, then print 0. Write a function to solve this problem. void max_each_column(int a[20][20], int n, int m) 3 3 1 2 -3 4 0 3 7 -8 0 Output: 14. Find the convolution of $f(t)=\left\{\begin{array}{11}\frac{3}{2} t, & 0 \leqt \leq 3 \ 0, & \text { otherwise }\end{array}\right.$ and Sg(t)=\left\{\begin{array}{i1}4, & -i leg i \leg 3' e, & \text { otherwise }\end{array}\right. $ Answer: $$ f* g=\left\{\begin{array}{11} 0 & t \leqslant-1 \ \frac{4}{3}(t+1)^[2} & -16 \end{array}\right. $$ SP. SD. 330|A: Create the following matrix M and Create a 4 x 3 matrix F from all rows and the third through fifth columnsof matrix M. 0 0 2 2 2 0.7 0.6 0.5 0.4 0.3 0.2 0.1 M= 4 6 8 8 10 12 14 22 19 16 13 10 7 B: find the minimum value of the matrix H. 1.7 1.6 1.5 1.4 1.3 1.2 22 24 26 28 30 32 = H 9 8 7 6 . 4
- x PROBLEM DESCRIPTION: The density of freshwater can be computed as a function of temperature with the following cubic equation: p = 5.5289x10-³T3 – 8.5016x10-6T² +6.5622x10-5Tc+0.99987 = Where p density (g/cm³) vs Tc = temperature (°C). Generate a vector of temperatures ranging from 32°F to 93.2°F using increments of 3.6°F. Convert this vector to degrees Celsius and then compute a vector of densities based on the cubic formula. Create a plot of p vs Tc using scilab 3:05 DCourse: Data Mining Language: R Given the following vectors x = [1, 3, 5, 7, 6, 8, 5, 2], y = [7, 11, 9, 6, 4, 3, 1, 3], z = [3, 5, 7, 9, 8, 7, 6, 5] Calculate the proximity between (x,y), (y, z), and (z, x) for the following proximity measures. Minkowski distance with h = 1 Minkowski distance with h = 2 Supremum distancePython problem Problem statementCalculate the dot product or dot product of two vectors. Link for more information on the scalar product. To calculate the dot product it is necessary that the two vectors have the same size, otherwise an error would occur. EntryTwo lines containing the vectors or list of numbers. Each line has the vector values separated by space. All numbers comply with -1000 <= n <= 1000 DeparturePrints a real number rounded to 2 decimal places corresponding to the dot product of the two vectors. If the size of the vectors does not correspond, “Error” should be printed without quotes. Examples Input Example 1 3.0 3.2 1.2 3.0 1.01.2 3.5 3.1 4.9 1.0Output Example 1 34.22 Input Example 2 1 2 3 41 2 3Output Example 2 Error