How do you find the cross product and verify that the resulting vectors are perpendicular to the given vectors #<3,2,0>times<1,4,0>#?
We can use the determinant notation to compute the cross product:
To confirm that this vector is perpendicular we can check the dot product is zero:
#<<3,2,0>> * <<0,0,10>> = 0+0+0 = 0 #
#<<1,4,0>> * <<0,0,10>> = 0+0+0 = 0 #