1 %Define the three vectors u=[1, 0, -4], v=[3, -3, 1], and w=[0, 2, 1]. u=[1 0 -4] v=[3 -3 1] w= [0 2 1] 4. 6 %Find the cross product of u and w. Store it in a1. 7 a1 = cross(u, w) 9 %Find the cross product of w and u. Store it in a2. Reversing the order of the cross product 10 %results in a vector of the same length but opposite direction. Note that a2 = -1(a1). 11 a2 = |13 %Find the volume of the parallelepiped determined by vectors u, v, and w. 14 z = abs(dot(u, cross(v, w))) Store this value in z. 15
1 %Define the three vectors u=[1, 0, -4], v=[3, -3, 1], and w=[0, 2, 1]. u=[1 0 -4] v=[3 -3 1] w= [0 2 1] 4. 6 %Find the cross product of u and w. Store it in a1. 7 a1 = cross(u, w) 9 %Find the cross product of w and u. Store it in a2. Reversing the order of the cross product 10 %results in a vector of the same length but opposite direction. Note that a2 = -1(a1). 11 a2 = |13 %Find the volume of the parallelepiped determined by vectors u, v, and w. 14 z = abs(dot(u, cross(v, w))) Store this value in z. 15
1 %Define the three vectors u=[1, 0, -4], v=[3, -3, 1], and w=[0, 2, 1]. u=[1 0 -4] v=[3 -3 1] w= [0 2 1] 4. 6 %Find the cross product of u and w. Store it in a1. 7 a1 = cross(u, w) 9 %Find the cross product of w and u. Store it in a2. Reversing the order of the cross product 10 %results in a vector of the same length but opposite direction. Note that a2 = -1(a1). 11 a2 = |13 %Find the volume of the parallelepiped determined by vectors u, v, and w. 14 z = abs(dot(u, cross(v, w))) Store this value in z. 15
Need assistance with the input for the circled question. THIS IS LINEAR ALGEBRA.
Transcribed Image Text:1 %Define the three vectors u=[1, 0, -4], v=[3, -3, 1], and w=[0, 2, 1].
u=[1 0 -4]
3
v=[3 -3 1]
4
w=[0 2 1]
6 %Find the cross product of u and w.
Store it in a1.
7 a1 = cross (u, w)
of
9 %Find the cross product of w and u.
10 %results in a vector of the same length but opposite direction.
11 a2 = |
Store it in a2.
Reversing the order of the cross product
Note that a2 = -1(a1).
13 %Find the volume of the parallelepiped determined by vectors u, v, and w.
14 z = abs(dot(u, cross(v, w)))
15
Store this value in z.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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![1 %Define the three vectors u=[1, 0, -4], v=[3, -3, 1], and w=[0, 2, 1].
u=[1 0 -4]
3
v=[3 -3 1]
4
w=[0 2 1]
6 %Find the cross product of u and w.
Store it in a1.
7 a1 = cross (u, w)
of
9 %Find the cross product of w and u.
10 %results in a vector of the same length but opposite direction.
11 a2 = |
Store it in a2.
Reversing the order of the cross product
Note that a2 = -1(a1).
13 %Find the volume of the parallelepiped determined by vectors u, v, and w.
14 z = abs(dot(u, cross(v, w)))
15
Store this value in z.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F372b1a2e-55e7-4947-aea0-e25d7cde42f2%2F24393922-013d-4caa-9600-10d6efcd2303%2Fak5z1dk_processed.png&w=3840&q=75)
