Question

Find `bar("a")*(bar("b") xx bar("c"))`, if `bar("a") = 3hat"i" - hat"j" + 4hat"k", bar("b") = 2hat"i" + 3hat"j" - hat"k", bar("c") = -5hat"i" + 2hat"j" + 3hat"k"`

Answer 1

`bar("a")*(bar("b") xx bar("c")) = |(3, -1, 4),(2, 3, -1),(-5, 2, 3)|`

= 3(9 + 2) + 1(6 − 5) + 4(4 + 15)

= 3(11) + 1(1) + 4(19)

= 33 + 1 + 76

∴ `bar("a")*(bar("b") xx bar("c"))` = 110