Find the cross product

Brennan Flores
2021-09-25
Answered

Find the cross product

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Aamina Herring

Answered 2021-09-26
Author has **85** answers

Solution:

To find the cross product of two vectors a and b, where the components of both vectors are as follows

We use the following formula,

In order to prove that this vector is orthogonal to both vectors a and b, we need to show that the dot product of vector c to each vector is zero, i.e we need to show that

Calculations:

We use equation, in order to find vector c which is the cross product of the two vectors a and b as follows

Thus, the cross product of the two vector is the following vector

We find the dot product of vector c with vector a, and then b in order to find out whether if its orthogonal to both or now

And, the dot product of the vector c and b

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