1. A Cartesian vector can be thought of as representing magnitudes along the x, y and z-axes multiplied by a unit vector (i.j,k). The dot product of two vectors {a} and {b} corresponds to the product of their magnitudes and the cosine of the angle between their tails such that {a} · {b} = ab cos(0) The cross product yields another vector, {c} = {a} x {b} which is perpendicular to the plane defined by {a} and {b} such that its direction is specified by the right-hand rule. The help documentation for cross is provided below: cross Vector cross product. C= cross(A,B) returns the cross product of the vectors A and B. That is, C = Ax B. A and B must be 3 element vectors. a) Write a function that accepts two vectors a and b, and returns c, the magnitude of c and 0. Your function should work with 3-dimensional vectors. i.e. a = [6 4 2] and b = [2 4 6].

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4. A Cartesian vector can be thought of as representing magnitudes along the x, y and z-axes multiplied by a unit
vector (i,j,k). The dot product of two vectors {a} and {b} corresponds to the product of their magnitudes and the
cosine of the angle between their tails such that
{a} · {b} = ab cos(0)
The cross product yields another vector,
{c} = {a} x {b}
which is perpendicular to the plane defined by {a} and {b} such that its direction is specified by the right-hand rule.
The help documentation for cross is provided below:
cross Vector cross product.
C = cross(A,B) returns the cross product of the vectors
A and B. That is, C = A x B. A and B must be 3 element
vectors.
a) Write a function that accepts two vectors a and b, and returns c, the magnitude of c and 0. Your function should
work with 3-dimensional vectors. i.e. a = [6 4 2] and b = [2 4 6].
Transcribed Image Text:4. A Cartesian vector can be thought of as representing magnitudes along the x, y and z-axes multiplied by a unit vector (i,j,k). The dot product of two vectors {a} and {b} corresponds to the product of their magnitudes and the cosine of the angle between their tails such that {a} · {b} = ab cos(0) The cross product yields another vector, {c} = {a} x {b} which is perpendicular to the plane defined by {a} and {b} such that its direction is specified by the right-hand rule. The help documentation for cross is provided below: cross Vector cross product. C = cross(A,B) returns the cross product of the vectors A and B. That is, C = A x B. A and B must be 3 element vectors. a) Write a function that accepts two vectors a and b, and returns c, the magnitude of c and 0. Your function should work with 3-dimensional vectors. i.e. a = [6 4 2] and b = [2 4 6].
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