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

If P = (1, 5, 4) and Q = (4, 1, -2) then find the d.r. of PQ.

Text Solution

Verified by Experts

The correct Answer is:
`(3,-4,-6)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION III) |31 Videos
  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION IV)|8 Videos
  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION I) MCQ|6 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Given that P (3, 2,-4), Q (5, 4,-6) and R (9, 8, -10) are collinear. Find the ratio in which Q divides PR.

Given that p(3,2,-4) , Q (5,4, -6) and R (9,8,-10) are collinear find the ratio in which Q divides PR

show that the poins :- P (4, 4), Q (2,-3), R (- 5,- 5) and S (- 3, 2) are the corners of a rhombus.

The vertices of a triangle PQR are P(2, 1), Q (-2,3) and R (4, 5). Find the equation of the median through the vertex R.

Let P = {1, 4,9} and Q= {2,4,6}. Write the elements of (P nn Q)xx (P uu Q) . Also find (P xx Q) nn (Q xx P) .

If p ,q , in {1,2,3,4}, then find the number of equations of the form p x^2+q x+1=0 having real roots.

Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) directed from P to Q.

The vertices of triangle PQR are P (2, 1), Q (-2, 3) and R (4, 5). Find equation of the median through the vertex R.

If P,Q,R,S are the points (1,-1,0),(2,1,-1),(-3,2,2) and (0,-2,-1) respectively. Find the projection of PQ on RS.

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) SHORT ANSWER TYPE QUESTIONS
  1. Write unit vector in the direction of the sum of vectors veca=2hati+...

    Text Solution

    |

  2. Write unit vector in the direction of the sum of vectors veca=2hati+...

    Text Solution

    |

  3. Write a vector of magnitude 9 units in the direction of vector -2hati+...

    Text Solution

    |

  4. Write a vector of magnitude 6 units in the direction of vector 2hati-h...

    Text Solution

    |

  5. Find a vector of magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  6. Find the direction cosines of the vector -2hati+hatj-5hatk.

    Text Solution

    |

  7. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  8. Show that the vector veci+vecj+veck is equally inclined to the axes O...

    Text Solution

    |

  9. Write the direction ratios of the vector r=hati-hatj+2hatk and hence c...

    Text Solution

    |

  10. If P = (1, 5, 4) and Q = (4, 1, -2) then find the d.r. of PQ.

    Text Solution

    |

  11. Find the direction cosine of the line joining the points (1,0,0) and (...

    Text Solution

    |

  12. Find the value of 'p' for which the vector 3hati+2hatj+9hatk and hati-...

    Text Solution

    |

  13. Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...

    Text Solution

    |

  14. Show that points A(-2,1),B(-5,-1) and C(1,3) are collinear.

    Text Solution

    |

  15. If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are...

    Text Solution

    |

  16. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

    Text Solution

    |

  17. Find the position vector of mid point of the line segment AB where A i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Find veca.vecb If veca=2hati-hatj+hatk and vecb=2hatj-hatk.

    Text Solution

    |