Home
Class 12
MATHS
If a and b are vectors in space given by...

If a and b are vectors in space given by `a=(hat(i)-2hat(j))/(sqrt(5)) and b=(2hat(i)+hat(j)+3hat(k))/(sqrt(14))`, then the value of `(2a+b)*[(atimesb)times(a-2b)]` is

A

5

B

6

C

3

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 Self Assessment Test (Assertion/Reason )|1 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Self Assessment Test (Comprehension)|3 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (4) (MULTIPLE CHOICE QUESTIONS) |8 Videos
  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

If a and b are vectors in space given by vec a=(hat i-2hat j)/(sqrt(5)) and vec b=(hat 2i+hat j+3hat k)/(sqrt(14)), then find the value of (2vec a+vec b)*[(vec a xxvec b)xx(vec a-2vec b)]

If overset(to)(a) " and " overset(to)(b) are vectors in space given by overset(to)(a) = (hat(i) -2hat(j))/(sqrt(5)) " and " overset(to)(b) = (2hat(i) + hat(j) +3hat(k))/(sqrt(14)) then the value of (2overset(to)(a) + overset(to)(b)).[(overset(to)(a) xx overset(to)(b)) xx (overset(to)(a) -2overset(to)(b))] is .........

If vec a and vec b are vectors in space given by vec a= (hat i - 2vec j)/sqrt5 and vec b = (2 hat i+ hat j + 3 hat k)/sqrt14 then the value of (2 vec a+ vec b) is

If a=2hat(i)+3hat(j)-hat(k), b=-hat(i)+2hat(j)-4hat(k), c=hat(i)+hat(j)+hat(k) , then find the value of (atimesb)*(atimesc) .

Find the anlge between the vectors a+b and a-b, if a=2hat(i)-hat(j)+3hat(k) and b=3hat(i)+hat(j)-2hat(k) .

The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

Find a unit vector perpendicular to A=2hat(i)+3hat(j)+hat(k) and B=hat(i)-hat(j)+hat(k) both.

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

Find |vec(a)xx vec(b)| , if vec(a)=2hat(i)+hat(j)+3hat(k) and vec(b)=3hat(i)+5hat(j)-2hat(k) .

If vec(A) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat(i)+7hat(j)-3hat(k) and vec(B)= 2hat(i)+2hat(j)-ahat(k) . The value of a is

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. If a xx b = c, b xx c = a and a, b,c be moduli of the vectors a, b,c...

    Text Solution

    |

  2. Let a-i+j and b=2i-k.The point of intersection of the lines r times a=...

    Text Solution

    |

  3. Let a,b, c be three non-coplanar vectors and r be any vector in space ...

    Text Solution

    |

  4. Let a, b, c be unit vectors such that a + b + c = 0 which one of the f...

    Text Solution

    |

  5. Unit vector vecc is inclined at an angle theta to unit vectors ve...

    Text Solution

    |

  6. If hata,hatb,hatc and hatd are unit vectors such that (hata xx hatb). ...

    Text Solution

    |

  7. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  8. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

    Text Solution

    |

  9. Two vectors a and b are not perpendicular and c and d are two vectors ...

    Text Solution

    |

  10. IF a and b are vectors such that | a + b| = sqrt(29) and a xx (2i+3j+4...

    Text Solution

    |

  11. If the vectors a = i-j+2k, b =2i+4j+k and c=lambdai+j+mu k are mutuall...

    Text Solution

    |

  12. Let P ,Q ,R and S be the points on the plane with position vectors ...

    Text Solution

    |

  13. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

    Text Solution

    |

  14. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

    Text Solution

    |

  15. The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...

    Text Solution

    |

  16. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  17. If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...

    Text Solution

    |

  18. Let vec a=- hat i- hat k , vec b=- hat i+ hat ja n d vec c= hat i+2 h...

    Text Solution

    |

  19. If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...

    Text Solution

    |

  20. The vectors vecAB = 3i + 4k and vecAC = 5i -2j + 4k are the sides of a...

    Text Solution

    |