Home
Class 12
MATHS
If the incident ray on a surface is alon...

If the incident ray on a surface is along the unit vector `vec v`, the reflected ray is along the unit vector `vec w` and the normal is along the unit vector ` vec a` outwards, express `vec w` in terms of `vec a` and `vec v`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

The unit vector in the direction of a given vector vec(a) is-

If the angel between unit vectors vec aa n d vec b60^0 , then find the value of | vec a- vec b|dot

If three unit vectors vec a , vec b , and vec c satisfy vec a+ vec b+ vec c=0, then find the angle between vec a and vec bdot

If vec(a) , vec(b)and vec(a) xx vec(b) are three unit vectors , find the angles beween the vectors vec(a) and vec(b)

If vec a , a n d vec b are unit vectors , then find the greatest value of | vec a+ vec b|+| vec a- vec b|dot

If vec p is a unit vector and (vec x- vecp).(vec x+ vecp) = 8 then find |vec x|

Define a vector and a unit vector. Find in terms of vector vec(a) a unit vector in its direction.

Find a unit vector vec c if vec -i+vec j-vec k bisects the angle between vec c and 3 vec i+4vec j .

find |vec x| , if for a unit vector vec a, (vec x- vec a)( vec x + vec a) =12

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. The condition for equations vec rxx vec a= vec ba n d vec rxx vec c...

    Text Solution

    |

  2. If aa n db are nonzero non-collinear vectors, then [ vec a vec b hat...

    Text Solution

    |

  3. ( vec a+ vec b)dot( vec b+ vec c)xx( vec a+ vec b+ vec c)= a. [ vec ...

    Text Solution

    |

  4. A vector of magnitude 10 along the normal to the curve 3x^2+8x y+2y^2-...

    Text Solution

    |

  5. If a( vecalphaxx vecbeta)+b( vecbetaxx vecgamma)+c( vecgammaxx vecalph...

    Text Solution

    |

  6. If ( vec axx vec b)xx( vec bxx vec c)= vec b ,w h e r e vec a , vec b ...

    Text Solution

    |

  7. If vec a , vec ba n d vec c are three non coplanar vectors, then ( ...

    Text Solution

    |

  8. If vec x+ vec cxx vec y= vec aa n d vec y+ vec cxx vec x= vec b ,w h ...

    Text Solution

    |

  9. If vec aa n d vec b are two unit vectors incline at angle pi//3 , ...

    Text Solution

    |

  10. Value of [ vec axx vec b , vec axx vec c , vec d] is always equal to...

    Text Solution

    |

  11. Let V be the volume of the parallelopiped formed by the vectors vec a ...

    Text Solution

    |

  12. Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...

    Text Solution

    |

  13. Let vec u and vec v be unit vectors such that vec uxx vec v+ vec u= ...

    Text Solution

    |

  14. For any two vectors vec ua n d vec v prove that ( vec u. vec v)^2+| ...

    Text Solution

    |

  15. If the incident ray on a surface is along the unit vector vec v, the r...

    Text Solution

    |

  16. If vec a , vec b , vec ca n d vec d are distinct vectors such that ...

    Text Solution

    |

  17. Given two vectors vec a=- hat i+2 hat j+2 hat ka n d vec b=-2 hat i+ ...

    Text Solution

    |

  18. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  19. If the vectors vec a, vec b, vec c are non-coplanar and l,m,n are dist...

    Text Solution

    |

  20. If vec a , vec ba n d vec c are unit coplanar vectors, then the sc...

    Text Solution

    |