Home
Class 12
MATHS
If (veca xx vecb)xx vecc= veca xx (vecb ...

If `(veca xx vecb)xx vecc= veca xx (vecb xx vecc) and vecb` perpendicular to `vecc` then which is true ?

A

a)`veca and vecb` are parallel or `vecc=0`

B

b)`veca and vecb` are perpendicular or `vecc=0`

C

c)`vecc=0`

D

d)`veca=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.10|25 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

Similar Questions

Explore conceptually related problems

If veca .vecb =beta and veca xx vecb = vecc ," then " vecb is

if veca xx vecb = vecc,vecb xx vecc = veca , " where " vecc ne vec0 then

veca=2hati+hatj+2hatk, vecb=hati-hatj+hatk and non zero vector vecc are such that (veca xx vecb) xx vecc = veca xx (vecb xx vecc) . Then vector vecc may be given as

If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc + vecc xx veca=

If veca is parallel to vecb xx vecc, then (veca xx vecb) .(veca xx vecc) is equal to

If vectors, vecb, vcec and vecd are not coplanar, the pove that vector (veca xx vecb) xx (vecc xx vecd) + ( veca xx vecc) xx (vecd xx vecb) + (veca xx vecd) xx (vecb xx vecc) is parallel to veca .

If veca xx vecb = vecb xx vecc ne 0 where veca , vecb and vecc are coplanar vectors, then for some scalar k prove that veca+vecc = kvecb .

If veca , vecb and vecc are non- coplanar vectors and veca xx vecc is perpendicular to veca xx (vecb xx vecc) , then the value of [ veca xx ( vecb xx vecc)] xx vecc is equal to

Show that (veca xx vecb) *(vecc xx vecd) +(vecb xx vecc) *(veca xx vecd) +(vecc xx veca) *(vecb xx vecd)=0 .

If alpha(veca xx vecb)+beta(vecb xx vecc)+gamma(vecc xx veca)=0 , then

PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Choose the correct answer)
  1. The vector vec(AB)=3hati+2hatj+2hatk and vec(BC)= - hati-2hatk are adj...

    Text Solution

    |

  2. If the angle between the lines having direction ratios (alpha, 3,5) an...

    Text Solution

    |

  3. Let a, b, c be distinct non negative numbers. The vectors ahati+a hatj...

    Text Solution

    |

  4. hati *(hatj xx hatk) +hatj(hatk xx hati) +hatk (hati xx hatj) is :

    Text Solution

    |

  5. If veca is any vector then the value of Sigma (veca xx veci)^(2) is :

    Text Solution

    |

  6. If (1-p)hati+2(1+p)hatj+(3+p)hatk and 3hati+hatj are at right angle to...

    Text Solution

    |

  7. [veca, veca+vecb, veca+vecb+vecc] is :

    Text Solution

    |

  8. The sum of the projection of 2hati+hatj+2hatk on the coordinate axis i...

    Text Solution

    |

  9. If veca=hati-2hatj+hatk, vecb=hati+2hatj+3hatk, vec c=3hati+2hatj+hatk...

    Text Solution

    |

  10. veca=2hati+3hatj-hatk vecb=hati-hatj-m hatk vec c= -hati+2hatj+hat...

    Text Solution

    |

  11. The work done by the force vecF=2hati-3hatj+2hatk in moving a particle...

    Text Solution

    |

  12. The area of the triangle formed by the points where position vector ar...

    Text Solution

    |

  13. veca=hati-hatj+hatk, vecb=2hati+hatj-hatk, vec c=lambda hati-hatj+lamb...

    Text Solution

    |

  14. If the equations 2x-lambday+5z=7 and lambda x-8y-10z+14=0 represent th...

    Text Solution

    |

  15. Find the odd one out in the following :

    Text Solution

    |

  16. Find the correct statement in the following given four points A, B, C,...

    Text Solution

    |

  17. If veca and vecb lie in one plane and vec c and vecd lie on another pl...

    Text Solution

    |

  18. If (veca xx vecb)xx vecc= veca xx (vecb xx vecc) and vecb perpendicula...

    Text Solution

    |

  19. Find which one is not correct statement.

    Text Solution

    |

  20. Identify correct pair from the following. (i) veca xx (vecb xx vecc)...

    Text Solution

    |