Home
Class 11
MATHS
If P, Q, R and S are points whose positi...

If P, Q, R and S are points whose position vectors are `bari-bark, -bari+2barj, 2barj-3bark and 3bari - 2barj- bark` respectively, then find the component of `bar(RS) " on " bar(PQ)`.

Text Solution

Verified by Experts

The correct Answer is:
`(-4)/(3)`.
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 5(c) III|11 Videos

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(c) III. |3 Videos

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) III.|11 Videos

Similar Questions

Explore conceptually related problems

The four points whose position vectors are 6bari -7 barj, 16bari -29barj-4bark, 3barj-6bark, 2bari +5barj +10bark are

If the three vectors 2bari -barj +bark, bari+ 2barj -3bark, 3bari + lamdabarj + 5bark are coplanar then lamda =

If bara=2bari+barj-3bark, barb=3barj-2barj-bark then find the angle between .

Show that the vectors bara= bari + 3barj + bark, barb =2bari - barj-bark and barc=7barj +3bark are coplanar.

Prove that the vectors bara= 2bari - barj + bark, barb = bari -3barj -5bark and barc=3bari -4barj -4bark are coplanar.

If the position vectors of A,B and C are respectively 2bari-barj+bark, bari -3barj-5bark and 3bari - 4barj - 4bark, " then " cos^(2) A =

The orthogonal projection vector of bara = 2bari + 3barj+3bark " on " barb=bari-2barj+bark is

If the position vectors of the points A, B and C are -2bari+barj-bark , -4bari+2barj+2bark and 6bari-3barj-12bark respectively and barAB=lambdabarAC , then find the value of lambda .

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-SOLVED PROBLEMS
  1. If |veca|=11,|vecb|=23 and |veca-vecb|=30, then find the angle between...

    Text Solution

    |

  2. If veca=veci-vecj-veck and vecb=2veci-3vecj+veck, then find the projec...

    Text Solution

    |

  3. If P, Q, R and S are points whose position vectors are bari-bark, -bar...

    Text Solution

    |

  4. If vectors lambda bar(i) - 3bar(j)+5bar(k), 2lambda bar(i) - lambdabar...

    Text Solution

    |

  5. Let veca=2veci+3vecj+veck,vecb=4veci+vecj and vec(c)=veci-3vecj-7veck....

    Text Solution

    |

  6. Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk f...

    Text Solution

    |

  7. P.T the smaller angle theta between any two diagonals of a cube is giv...

    Text Solution

    |

  8. Let bara,barb,barc be non-zero mutually orthogonal vectors. If xbara+y...

    Text Solution

    |

  9. Let bara, barb and barc be mutually orthogonal vectors of equal magnit...

    Text Solution

    |

  10. The vectors bar(AB) = 3bari - 2barj + 2bark and bar(BC) = -bari - 2bar...

    Text Solution

    |

  11. Find the Cartesian equation of the plane passing through the point (-2...

    Text Solution

    |

  12. Find the cartesian equation of the plane through the point A (2,-1,-4)...

    Text Solution

    |

  13. Find the angle between the planes 2x-3y-6z=5 and 6x+2y-9z = 4.

    Text Solution

    |

  14. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

    Text Solution

    |

  15. If veca=2veci-3vecj+5veck,vecb=-veci+4vecj+2veck, then find vecaxxvecb...

    Text Solution

    |

  16. If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k), then...

    Text Solution

    |

  17. Find the area of the parallelogram for which the vectors veca=2veci-3v...

    Text Solution

    |

  18. If vec(a) xx vec(b) = vec(c ) xx vec(d) and vec(a) xx vec(c )= vec(b) ...

    Text Solution

    |

  19. If bar(a) = bar(i) + 2bar(j) + 3bar(k), bar(b) = 3bar(i) +5bar(j) -bar...

    Text Solution

    |

  20. Let veca=2veci-j+veck and vecb=3i+4j-veck. If theta is the angle betwe...

    Text Solution

    |