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If → a = 2 ˆ I + 3 ˆ J + ˆ K , → B = ˆ I − 2 ˆ J + ˆ K and → C = − 3 ˆ I + ˆ J + 2 ˆ K , Find → a → B → C - Mathematics

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Sum

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"]`

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Solution

`[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

Concept: Types of Matrices
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