Question

Find the scalar and vector paroducts of two vectors. `a=(3hat(i)-4hat(j)+5hat(k)) " and " b=(-2hat (i) +hat(j)-3hat(k))`

Answer 1

`a.b=(3hat(i)-4hat(j)+5hat(k)).(-2hat(i)+hat(j)-3hat(k))`
`=-6-4-15`
`=-25`
`axxb=|{:(" "hat(i)," "hat(j)," "hat(k)),(" "3 ,-4," "5),(-2," "1,-3):}|=7hat(i)-hat(j)-5hat(k)`
`bxxa=-7hat(i)+hat(j)+5hat(k)`