1.

Find the angle between the line oversettor=(overset^i+2overset^j-overset^k)+lambda(overset^i-overset^j+overset^k) and the plane oversettor(2overset^i-overset^j+overset^k)=4

Answer»

Solution :For the line `oversettob=i-j+k` and NORMAL to the PLANE `=oversettoN=2i-j+k.` Let `THETA` is the ANGLE between the line and the plane. `thereforesintheta=(oversettob.oversettoN)/(|b||N|)=(2+1+1)/(sqrt3sqrt6)=(2SQRT2)/3ifftheta=sin^(_1)((2sqrt2)/3)`


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