Home
Class 12
MATHS
If P=(2,4,7) and Q=(-4,-1,5), then find ...

If `P=(2,4,7)` and `Q=(-4,-1,5)`, then find `bar(PQ)` and `|bar(PQ)|`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,2),(3,4),(5,6)] and B = [(-3,-2),(1,-5),(4,3)] , then find D = [(p,q),(r,s),(t,u)] such that A + B - D = 0.

Consider the points P (2,4) and Q (-2,5) Find the mid point of PQ Hence, find the equation of the perpendicular bisector of PQ

Given the points P(1,-1,3), Q(2,-4,5) and R(5,-13,11) Find the ratio in which Q divides PR

If (pi)/(3) and (pi)/(4) are argument of z_(1) and bar(z)_(2) then the value of arg (z_(1)z_(2)) is

Given the points P(1,-1,3), Q(2,-4,5) and R(5,-13,11) Prove that P,Q,R are collinear

Consider the points P (2,4) and Q (-2,5) Find the slope of PQ

Consider the line joing the points P(-4,1) and Q(0,5) Find the equation of the line passing through the midpoint of PQ and parallel to the line 3x-4y+2=0

Consider the line joing the points P(-4,1) and Q(0,5) Write the coordinate of the line passing through the midpoint of PQ.

bar(OA)=i+2j+3k bar(OB)=i-2j+4k bar(OC)=2i+3j+k are adjacent sides of the parallelopiped. Find the base area of the parallelopiped. (Base determined by bar(OA) and bar(OB) )

Consider the points P (3,4,-5) and Q (1,-2,3).Find the ratio in which the YZ plane divides the line joining P and Q

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If theta is the angle between any two vectors veca and vecb, then |vec...

    Text Solution

    |

  2. Prove that the Iine joining the midpoints of the two sides of a triang...

    Text Solution

    |

  3. Find the projection of vector hati-hatj on the vector hati+hatj

    Text Solution

    |

  4. Show that the line segment joining the midpoints of two 'sides of a t...

    Text Solution

    |

  5. If P=(2,4,7) and Q=(-4,-1,5), then find bar(PQ) and |bar(PQ)|

    Text Solution

    |

  6. i) Compute |hati+hatj+hatk| ii) If veca=2 hati+3 hatj+6 hatk, find th...

    Text Solution

    |

  7. Find a vector in the direction of the vector '-hati+2 hatj+2 hatk' tha...

    Text Solution

    |

  8. Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5...

    Text Solution

    |

  9. Find the condition that the vectors veca=k hati+3 hatj and vecb=4 hati...

    Text Solution

    |

  10. Lẹt 0 be the centre of the regular hexagon ABCDEF. Find the sum of the...

    Text Solution

    |

  11. Show that the diagonals of a quadrilateral bịsect each other if and on...

    Text Solution

    |

  12. Prove that the quadrilatral formed by joining the mid points of the si...

    Text Solution

    |

  13. Find the vector with initial point 'A(6,-2)' and terminal point 'B(4,8...

    Text Solution

    |

  14. The vectors of magnitude a, 2a, 3a meet at a point and their direction...

    Text Solution

    |

  15. Find the unit vector in the direction of vector 'vecP Q', where 'P' an...

    Text Solution

    |

  16. Find the còndition that the vectors veca=k hati+l hatj and vecb=l hati...

    Text Solution

    |

  17. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  18. Find the length of the medians of the triangle formed by A(4,2), B(1,...

    Text Solution

    |

  19. Show that the points with position vectors '2 hati+6 hatj+3 hatk, hati...

    Text Solution

    |

  20. Show that the four points A, B, C and D with position vectors veca, ve...

    Text Solution

    |