Home
Class 12
MATHS
If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectiv...

If `i+j+k,2i+5j,3i+2j-3k,i-6j-k` respectively are the position vector of points A,B,C and D. Then find the angle between the vectors `vec(AB)` and `vec(CD)`.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSTIONAL GEOMETRY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of points A,B,C and D. Then find vec(AB) and vec(CD) .

If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of points A,B,C and D. Then Deduce that vec(AB) parallel to vec(CD) .

The angle between the vectors i+j and j+k is

Find the angle between the vectors veca=2i+j-k and vecb=i-j+k .

Find the angle between the vectors veca=3i+4j+k and vecb=2i+3j-k .

The position vectors of three points A,B,C are given to be i+3j+3k , 4i+4k , -2i+4j+2k respectively.Find the angle between vec(AB) and vec(AC)

The position vectors of three points A,B,C are given to be i+3j+3k , 4i+4k , -2i+4j+2k respectively.Find vec(AB) and vec(AC)

Let veca=2i-j+2k and vecb=6i+2j+3k Find the angle between veca and vecb .

Given the position vectors of three points as A(i-j+k),B(4i+5j+7k)C(3i+3j+5k) Find vec(AB) and vec(BC) .

If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides of a trianglePQR Find the angle between vec(PQ) and vec(PR)

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. A girl walks 4km towards west, then she walks 3 km in a direction 30^@...

    Text Solution

    |

  2. If veca=vecb+vecc,then is it true that |veca|=|vecb|+|vecc|? Justify y...

    Text Solution

    |

  3. Find the value of x for which x(overset^^i+overset^^j+overset^^k) is a...

    Text Solution

    |

  4. Find a vector of magnitude 5 units and parallel to the resultant of th...

    Text Solution

    |

  5. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...

    Text Solution

    |

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

    Text Solution

    |

  7. The two adjacent sides of a parallelogram are 2overset^^i-4overset^^j+...

    Text Solution

    |

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

    Text Solution

    |

  9. Let" "veca=overset^^i+4overset^^j+2overset^^k, vecb=3overset^^i-2overs...

    Text Solution

    |

  10. The scalar product of the vector overset^^i+overset^^j+overset^^k with...

    Text Solution

    |

  11. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  12. Prove that (veca+vecb).(veca+vecb)=|veca|^2+|b|^2 if and only if veca...

    Text Solution

    |

  13. Choose the correct answer. If theta is the angle between two vectors v...

    Text Solution

    |

  14. Choose the correct answer. Let veca"and"vecb be two unit vectors and t...

    Text Solution

    |

  15. Choose the correct answer.The value of overset^^i.(overset^^jxxoverset...

    Text Solution

    |

  16. If theta is the acute angle between any two vectors " "veca" and "vecb...

    Text Solution

    |

  17. Write all the unit vectors in XY-plane.

    Text Solution

    |

  18. If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of...

    Text Solution

    |

  19. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

    Text Solution

    |

  20. Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...

    Text Solution

    |