If `veca and vecb ` are any two vectors of `magnitude` `2 and 3` respectively such that `|2(vecaxxvecb)|+|3(veca.vecb)|=k` then the maximum value of k
If `veca and vecb ` are any two vectors of `magnitude` `2 and 3` respectively such that `|2(vecaxxvecb)|+|3(veca.vecb)|=k` then the maximum value of k is
A. `sqrt13`
B. `2sqrt13`
C. `6sqrt13`
D. `10sqrt13`
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Correct Answer - c
`k= |2(veca xx vecv) |+ |3 (veca .vecb) |`
` = 12 sin theta + 18 cos theta`
` Rightarrow` maximum value of k = `sqrt(12^(2) + 18^(2)) = 6sqrt13`
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