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Solution :

`D_r=(cosalpha,cosalpha,cosalpha)`<br>
`=l^2+m^2+n^2=1`<br>
`=3cos^2alpha=1`<br>
`cosalpha=pm1/sqrt3`<br>
`cosalpha=1/sqrt3`<br>
`vecn=2sqrt3(cosalphahati+cosbetahatj+cosgammahatk)`<br>
`=2hati+2hatj+2hatk`<br>
`[vecr-(hati-hatj+2hatk)]*[2hati+2hatj+2hatk]=0`<br>
`[(x-1)hati+(y+1)hatj+(z-2)hatk][2hati+2hatj+2hatk]=0`<br>
`2(x-1)+2(y+1)+2(z-2)=0`<br>
`x+y+z=2`.**Two type of numbers - Vector and scalar.**

**Evolution of vector concept**

**Representation of vector direction sense magnitude of vector or length**

**Equal vectors, null vector, unit vectors, position vector, like and unlike vectors,collinear and parallel vectors**

**Co-initial vectors, coterminous vector and co-planar vectors,negative of a vector,reciprocal vectors**

**Free vector and localized vector**

**In a regular hexagon find which vectors are collinear, equal, coinitial, collinear but not equal.**

**Parallelogram law of addition of vectors**

**Properties of addition of vectors**

**Magnitude of addition of two vectors**