(9) Consider two vectors u=(:u_(1),u_(2),u_(3):) and v=(:v_(1),v_(2),v_(3):). The cross product, written as u x v, is a new vector that is perpendicular to both u and v. The cross product can be calculated in the following way:
(9) Consider two vectors u=(u1,u2,u3) and v=(v1,v2,v3). The cross product, written as u x v, is a new vector that is perpendicular to both u and v. The cross product can be calculated in the following way:
u x v = (u2v3 - u3v2)i + (u3v1 - u1v3)j + (u1v2 - u2v1)k
(OpenStax 2.3.184) Let u=(3,2,-1), v=(1,1,0). Find u x v in component form. Draw the three vectors u, v, and u x v in the same coordinate axes.
(b) Let u=(-1,0,e^t), v=(1,e^-t*sin(t)). Find u x v in component form.