Let O be the origin and` vec(OX) , vec(OY) , vec(OZ)` be three unit vector in the directions of the sides `vec(QR) , vec(RP),vec(PQ)` respectively , of a triangle PQR.
`|vec(OX)xxvec(OY)|=`
A. sin (P + Q)
B. sin 2R
C. sin (P+R)
D. sin (Q+R)
Here,` vecn=2hati-hatj+2hatk` and `p = 10` `:. hatn = (vecn)/(|vecn|)= (2hati-hatj+2hatk)/(sqrt(2^(2)+(-1)^(2)+2^(2)))=(2hati-hatj+2hatk)/(3)` Equation of plane `vecr.hatn=p` `rArr vecr.((2hati-hatj+2hatk))/(3) = 10` `rArr vecr.(2hati-hatj+2hatk) = 30`.
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2 Answers 1 views