The scalar triple product of vectors a, b, c is a⋅(b×c) . Write a program in Scilab that includes a function scalarTripleProduct(a,b,c) where a,b,c are any three-dimensional vectors. The program should calculate and display the value of a⋅(b×c) for a= (1 2 3) b= (−2 1 3) c= (3 −2 −1) It should also calculate and display the values of c⋅(a×b) and b⋅(c×a) to verify the identity a⋅(b×c)=c⋅(a×b)=b⋅(c×a)

Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: How do you know what the vector b is?

A:

Q: Find the value of a so that the vectors a = (34, -22, 49), b= (5, 51, 35). and c = (a, -394, -14)…

A:

Q: How are a vector and a scalar different?

A:

Q: Find two linearly independent vectors perpendicular to the vector 1 3

A:

Q: Find the value of  x  so that the two vectors  (27,1,13)  and   (x,0,1)  are orthogonal

A:

Q: We know that there are two ways to multiply vectors: the vector and scalar product. How about vector…

A: Vector division is not possible .

Q: Determine whether the vectors v₁ =(4,-8, 12), and v₂ = (-5, 10, 15) are linearly independent; if…

A:

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors V₁, V₂, and v₂…

A: Linear Combination:       A vector V is called a linear combination of vectors   v1, v2, . . ., vn…

Q: Determine whether the vectors v₁ = (1, 2), v₂ = (-1,0) and v3 = (0, 1) are linearly independent; if…

A:

Q: Describe all of the operations involved in (a - b)(a c) — 2ã · (b × c) - Explain whether the final…

A:

Q: Determine whether the vectors (1,2,3), (5,6,7), (9,10,11), and (4,8, 12) are linearly independent.

A:

Q: linearly independent If they are linearly dependent, find scalars that are not all zero s linearly…

A:

Q: Are the vectors = [−5_3 −1], v = [02-1] and w = [-25 21 -8] linearly independent? Choose If they are…

A:

Q: Define the term column vector.

A: Column Vector is defined as a column matrix representing the elements of any vector written in…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.