Home
Class 12
MATHS
vec A isa vector with direction cosines ...

` vec A` isa vector with direction cosines `cosalpha,cosbetaa n dcosgammadot` Assuming the `y-z` plane as a mirror, the directin cosines of the reflected image of ` vec A` in the plane are a. `cosalpha,cosbeta,cosgamma` b. `cosalpha,-cosbeta,cosgamma` c. `-cosalpha,cosbeta,cosgamma` d. `-cosalpha,-cosbeta,-cosgamma`

Promotional Banner

Topper's Solved these Questions

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

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If cosalpha+cosbeta+cosgamma=0 , then prove that cos3alpha+cos3beta+cos3gamma=12cosalphacosbetacosgamma

If alpha+beta+gamma=pi , prove that : cos^2 alpha + cos^2 beta + cos^2 gamma+2cosalpha cosbeta cosgamma=1 .

Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha+beta)/2)cos((beta+gamma)/2)cos((gamma+alpha)/2)

Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha+beta)/2)cos((beta+gamma)/2)cos((gamma+alpha)/2)

Prove that: cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha+beta)/2)cos((beta+gamma)/2)cos((gamma+alpha)/2) .

Statement 1: If cosalpha,cosbeta,a n dcosgamma are the direction cosines of any line segment, then cos^2alpha+cos^2beta+cos^2gamma=1. Statement 2: If cosalpha,cosbeta,a n dcosgamma are the direction cosines of any line segment, then cos2alpha+cos2beta+cos2gamma=1.

If cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-3/2 , prove that cosalpha+cosbeta+cosgamma=sinalpha+sinbeta+singamma=0

If cosalpha, cosbeta and cosgamma are the direction cosine of a line, then find the value of cos^2alpha+(cosbeta+singamma)(cosbeta-singamma) .

sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta)

if 0ltalphaltbetaltgammaltpi/ 2, then prove that tanalpha lt (sinalpha+sinbeta+singamma)/ (cosalpha+cosbeta+cosgamma)lt tangamma

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If vec a and vec b are two unit vectors and theta is the angle between...

    Text Solution

    |

  2. The vectors x hat i+(x+1) hat j+(x+2) hat k ,(x+3) hat i+(x+4) hat j+(...

    Text Solution

    |

  3. vec A isa vector with direction cosines cosalpha,cosbetaa n dcosgammad...

    Text Solution

    |

  4. The vector vec a has the components 2p and 1 w.r.t. a rectangular C...

    Text Solution

    |

  5. The sides of a parallelogram are 2 hat i+4 hat j-5 hat k and hat i+2 ...

    Text Solution

    |

  6. If vec a , vec b , vec c are non-coplanar vector and lambda is a re...

    Text Solution

    |

  7. If points hat i+ hat j , hat i- hat j and p hat i+q hat j+r hat k are...

    Text Solution

    |

  8. If the vectors hat i- hat j , hat j+ hat k and vec a form a triangl...

    Text Solution

    |

  9. If the resultant of three forces vec F1=p hat i+3 hat j- hat k , v...

    Text Solution

    |

  10. vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c...

    Text Solution

    |

  11. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  12. Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k ...

    Text Solution

    |

  13. Show that the point A , B and C with position vectors vec a =3 hat i ...

    Text Solution

    |

  14. If 2vec(AC)=3vec(CB), then prove that 2vec(OA)+3vec(OB)=5vec(OC) where...

    Text Solution

    |

  15. Find the unit vector in the direction of vector vec (PQ), where P and...

    Text Solution

    |

  16. For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + ...

    Text Solution

    |

  17. If the projections of vector vec a on x -, y - and z -axes are 2, ...

    Text Solution

    |

  18. Find a vector in the direction of the vector 5 hat i - hat j + 2 h...

    Text Solution

    |

  19. If vec a , vec b , vec c , vec d are the position vector of point A ,...

    Text Solution

    |

  20. Show that the points A(6,-7,0),B(16 ,-19 ,-4),C(0,3,-6) and D(2,-5,10)...

    Text Solution

    |