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In isosceles triangles A B C ,| vec A B|...

In isosceles triangles `A B C ,| vec A B|=| vec B C|=8,` a point `E` divides `A B` internally in the ratio 1:3, then find the angle between ` vec C Ea n d vec C A(w h e r e| vec C A|=12)dot`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
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  2. If vec a and vec b are two vectors, then prove that ( vec axx vec b...

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  3. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

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  4. Prove that in a tetrahedron if two pairs of opposite edges are perp...

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  5. Let vec a , vec b , and vec c are vectors such that | vec a|=3,| vec ...

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  6. If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a...

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  7. If vec A=4 hat i+6 hat j and vec B=3 hat j+4 hat k , then find the co...

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  8. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat...

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  9. If veca , vecb , vecc are three mutually perpendicular unit ve...

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  10. Let vec a=x hat i+12 hat j- hat k , vec b=2 hat i+2x hat j+ hat ka n ...

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  11. If vec a , vec b ,a n d vec c are three non-coplanar vectors, then ...

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  12. If vec a , vec b , vec ca n d vec d are the position vectors of the...

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  13. The position vectors of the vertices of a quadrilateral with A as o...

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  14. If vec axx vec b= vec cxx vec da n d vec axx vec c= vec bxx vec d , t...

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  15. Show by a numerical example and geometrically also that vec axx ve...

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  16. In triangle A B C ,points D , Ea n dF are taken on the sides B C ,C Aa...

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  17. Let A ,B ,C be points with position vectors 2 hat i- hat j+ hat k , ...

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  18. Let vec a and vec b be unit vectors such that | vec a+ vec b|=sqrt(3)...

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  19. If u and v are two non-collinear unit vectors such that |vecu...

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