Question

Given thevectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1).. Calculate the following, expressing your answers as ordered triples (three comma-separated numbers). B⃗ ×C⃗

Answer 1

i j k
B x C = | -2 5 1 | = 5 i + 3 j - 2 k - 1 - 15 j = 4 i + 5 j -17 k
3 1 1
B x C = ( 4, 5, - 17 )

i j k
A x ( B x C ) = | 1 0 3 | = - 12 j + 5 k + 17 j + 15 i = 15 i + 5 j + 5 k
4 5 -17
A x ( B x C ) = ( 15, 5, 5 )