Home
Class 11
MATHS
If bar(a)=bar(i)+bar(j)+bar(k), bar(b)=2...

If `bar(a)=bar(i)+bar(j)+bar(k), bar(b)=2bar(i)+3bar(j), bar(c)=3bar(i)+5bar(j)-2bar(k) and bar(d)=bar(k)-bar(j)`, then the ratio of moduli of `bar(b)-bar(a) and bar(d)-bar(c)` is

A

`2:3`

B

`1:3`

C

`3:1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - II|77 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos
  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

If bar(a)=bar(i)+4bar(j), bar(b)=2bar(i)-3bar(j) and bar(c)=5bar(i)+9bar(j)" then "bar(c)=

If bar(a)=2bar(i)-bar(j)+3bar(k), bar(b)=-bar(i)+4bar(j)-2bar(k), bar(c)=5bar(i)+bar(j)+7bar(k) and xbar(a)+ybar(b)=bar(c) then (x, y) =

If bar(a)=bar(i)-2bar(j)-3bar(k), bar(b)=2bar(i)+bar(j)-bar(k),bar(c)=bar(i)+3bar(j)-2bar(k) " then find " bar(a)xx(bar(b)xxbar(c))

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

If bar(a) = bar(i) -2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c )=bar(i)+3bar(j)-2bar(k) , compute bar(a).(bar(b)xxbar(c)) .

If bar(a)=2bar(i)-bar(j)+k, bar(b)=bar(i)+3bar(j)-2bar(k), bar(c)=-2bar(i)+bar(j)-3bar(k) and bar(d)=3bar(i)+2bar(j)-5bar(k) and if bar(d)=pbar(a)+qbar(b)+rbar(c) then show that q,p/2,r are in A.P.

If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=4bar(i)+2bar(j)-bar(k), bar(c)=bar(i)+2bar(j)-bar(k) and bar(a)+lambdabar(b) is parallel to bar(c) then lambda=

If bar(r)=3bar(i)+2bar(j)-5bar(k), bar(a)=2bar(i)-bar(j)+bar(k), bar(b)=bar(i)+3bar(j)-2bar(k) and bar(c)=-2bar(i)+bar(j)-3bar(k) such that bar(r)=lambdabar(a)+mubar(b)+deltabar(c)" then "mu, lambda/2, delta are in

AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
  1. If (bar(a), bar(i))=(bar(a), bar(j))=pi/4" then "(bar(a), bar(k))=

    Text Solution

    |

  2. Unit vector making angles pi/3, pi/3, (3pi)/4 with bar(i), bar(j), bar...

    Text Solution

    |

  3. If bar(a)=bar(i)+bar(j)+bar(k), bar(b)=2bar(i)+3bar(j), bar(c)=3bar(i)...

    Text Solution

    |

  4. If bar(alpha)=2bar(i)+3bar(j), bar(beta)=4bar(i)+bar(j), bar(gamma)=5b...

    Text Solution

    |

  5. bar(a), bar(b), bar(c) are three vectors of which every pair is non-co...

    Text Solution

    |

  6. Let a, b, g be the distinct real numbers. The points with position vec...

    Text Solution

    |

  7. If the position vectors of the four points A, B, C, D are 2bar(a), bar...

    Text Solution

    |

  8. If the position vectors of three consecutive vertices of a parallelogr...

    Text Solution

    |

  9. A set of vectors bar(a)(1), bar(a)(2), ………, bar(a)(n) is said to linea...

    Text Solution

    |

  10. If 4bar(i)+7bar(j)+8bar(k), 2bar(i)+3bar(j)+4bar(k), 2bar(i)+5bar(j)+7...

    Text Solution

    |

  11. If A=(1, 1, 1), B=(1, 2, 3), C=(2, -1, 1) be the vertices of a DeltaAB...

    Text Solution

    |

  12. If A is the point bar(a)+2bar(b), P is the point bar(a) and P devides ...

    Text Solution

    |

  13. The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+...

    Text Solution

    |

  14. In a DeltaOAB, E is the mid point of OB and D is a point in AB such th...

    Text Solution

    |

  15. If 2bar(i)+3bar(j)+5bar(k), 2bar(i)+4bar(j)+5bar(k) and 2bar(i)+4bar(j...

    Text Solution

    |

  16. The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k),...

    Text Solution

    |

  17. In a DeltaABC, P.V.'s of A, mid-point of BC are bar(i)+2bar(j)+3bar(k)...

    Text Solution

    |

  18. If G is the centroid of DeltaABC then bar(GA)+bar(GB)+bar(GC)=

    Text Solution

    |

  19. If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...

    Text Solution

    |

  20. If D, E are the midpoints of AB, AC of Delta ABC, then vec(B)E + vec(D...

    Text Solution

    |