Question

If` vec"a" = 2hat"i" + 3hat"j" + + hat"k", vec"b" = hat"i" - 2hat"j" + hat"k"  "and"  vec"c" = -3hat"i" + hat"j" + 2hat"k", "find" [vec"a" vec"b" vec"c"]`

Answer 1

`[vec"a" vec"b" vec"c"] = |(2,3,1),(1, -2, 1),(-3, 1,2)| = 2(-4 -1) - 3(2 + 3) + 1 (1 -6)`

= `-30`