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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 Vectors
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