Question

If A=2î - i+k and B=i+2j- k ar
are two
vectors, find Ax B​

Answer 1

Explanation:

(2i-j+k)×(i+2j-k)

(2i×i)+(2i×2j)-(2i×k)-(j×i)-(j×2j)-(j×-k)+(k×i)+k×2j+(k×-k)

Now note i×j=k;j×k=i;k×i=j

j×i=(-k)

k×j=(-i)

i×k=(-j)

;

i×i=j×j=k×k=0

0+4k+2j+k-0+i+j-2i+0

= -i+3j+5k