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Two 3D vectors, A and B , are represented in terms of the Cartesian basis unit...

Two 3D vectors, A and B , are represented in terms of the Cartesian basis unit vectors, i , j , k as follows:

A=2i-3j+k

B=10i+9j-4k

1) plot A and B in a Cartesian coordinate system

2) calculate A + B

3) calculate A · B using the scalar product formula

4) calculate the magnitudes of A and B

5) calculate the angle between A and B

6) calculate A x B using the determinant formula

7) show that the new vector, w = A x B , is perpendicular to both A and B

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