What is the cross product of [3, 2, 5] and [-1, 2, 2] ?

1 Answer

color(blue)(a " x " color(blue)(b=-6i-11j+8k)

Explanation:

Let vector a=3*i+2*j+5*k and b=-1*i+2*j+2*k

The formula for cross product

axb=[(i,j,k),(a_1,a_2,a_3),(b_1,b_2,b_3)]

axb=+a_2b_3i+a_3b_1j+a_1b_2k-a_2b_1k-a_3b_2i-a_1b_3j

Let us solve the cross product

axb=[(i,j,k),(3, 2, 5),(-1, 2, 2)]

axb=

+(2)(2)i+(5)(-1)j+(3)(2)k-(2)(-1)k-(5)(2)i-(3)(2)j

axb=+4*i-10i-5j-6j+6k+2k

axb=-6i-11j+8k

God bless...I hope the explanation is useful.