Vectors A and B lie in the xy-plane. Vector A has a magnitude of 14.1 and is at an angle of 165.5° counterclockwise from the +x-axis. Vector B has a magnitude of 24.7 and is 190.3° from the +x-axis.
Resolve A and B into components, and express using ijk unit vectors,
A = Ax i + Ay j + Az k
B = Bx i + By j + Bz k
where Ax, Ay, Az and Bx, By, and Bz are the calculated values of the x-, y-, and z-components of vectors A and B, respectively.
A = -13.65i + 3.53j
B = -24.30i - 4.42j
Find the magnitude and unit vector for the cross product between A and B.
|A x B| = 141.74
Identify the unit vector for A x B.
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