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If veca and vecb are two vectors , then ...

If `veca and vecb` are two vectors , then prove that `(vecaxxvecb)^(2)=|{:(veca.veca" ",veca.vecb),(vecb.veca" ",vecb.vecb):}|`

Text Solution

Verified by Experts

`(vecaxxvecb)^(2)=(ab sintheta.hatn)^(2)`
`=a^(2)b^(2)sin^(2)theta`
=`(veca.veca) (vecb.vecb)-(veca.vecb)^(2)`
`=|{:(veca.veca" ",veca.vecb),(vecb.veca" ",vecb.vecb):}|`
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