Home
Class 12
MATHS
Let vec r xx veca = vec b xx veca and ve...

Let `vec r xx veca = vec b xx veca` and `vecc vecr=0`, where `veca.vecc ne 0`, then `veca.vecc(vecr xx vecb)+(vecb.vecc)(veca xx vecr)` is equal to __________.

A

c

B

`(a.b)c`

C

`(a xx b) xxc`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

If vecA + vecB + vecC = vec0 , then vecA.(vecB xx vecC) = ……….

if veca + vecb + vecc=0 , then show that veca xx vecb = vecb xx vecc = vecc xx veca .

If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecb xx vecc))/(vecb.(vecc xx veca)) + (vecb.(vecc xx veca))/(vecc.(veca xx vecb)) +(vecc.(vecb xx veca))/(veca. (vecb xx vecc)) is equal to:

If veca, vecb, vecc are vectors such that |vecb|=|vecc| then {(veca+vecb)xx(veca+vecc)}xx(vecbxxvecc).(vecb+vecc)=

If veca,vecb, vecc are three vectors such that veca + vecb +vecc =vec0, |veca| =1 |vecb| =2, | vecc| =3 , then veca.vecb + vecb .vecc +vecc + vecc.veca is equal to

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If a = 2i+j+k, b =i+2j+k,c=2i-3j+4k and r is a vector such that r xx b...

    Text Solution

    |

  2. Given three vectors a,b,c such that b.c = 3 a.c = (1)/(3). The vector ...

    Text Solution

    |

  3. Let vec r xx veca = vec b xx veca and vecc vecr=0, where veca.vecc ne ...

    Text Solution

    |

  4. If a xx b = c xx d and a xx c = b xxd, then

    Text Solution

    |

  5. If a and b include an angle of 120^(@) and their magnitudes are 2 and ...

    Text Solution

    |

  6. u = q-r, r-p, p-q and v = (1)/(a),(1)/(b),(1)/(c). If a,b, c be T(p)...

    Text Solution

    |

  7. In a G.P. T(p) = a, T(q) = b and T(r) = c where a, b, c are +ive then...

    Text Solution

    |

  8. The angle between (vecA xx vec B) and (vecB xx vecA ) is :

    Text Solution

    |

  9. The angle between the vectors 2i+3j+k and 2i-j-k is

    Text Solution

    |

  10. If theta is the angle between vectors a and b, then |a xx b| = | a.b|,...

    Text Solution

    |

  11. If |a|=2, |b|=5 and |a xx b|=8, then what is a, b equal to ?

    Text Solution

    |

  12. If a = 4i + 2j-5k, b =-12i-6j+15k, then the vectors a, b are

    Text Solution

    |

  13. If a^(2) - b^(2)=0, then

    Text Solution

    |

  14. If A =2i + 2j + 3k, B =-i+2j+k and C=3i+j, then A +t B is perpendicula...

    Text Solution

    |

  15. if the vector x i+yj +zk makes an acute angle with the plane of the tw...

    Text Solution

    |

  16. Consider the parallelopiped with sides bar(a)=3bar(i)+2bar(j)+bar(k),b...

    Text Solution

    |

  17. The points A(1,1,2), B (3,4,2) and C(5,6,4) . The exterior angle of th...

    Text Solution

    |

  18. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

    Text Solution

    |

  19. Let vectors bara, barb, barc and bard be such that (baraxxbarb)xx(ba...

    Text Solution

    |

  20. A plane p(1) is parallel to two vectors 2j + 3k and 4j-3k. Another pla...

    Text Solution

    |