Home
Class 12
MATHS
If A, B, C and D are the points with pos...

If A, B, C and D are the points with position vectors `hati+hatj-hatk,2hati-hatj+3hatk,2hati-3hatk` and `3hati-2hatj+hatk` respectively, then find the projection of `vec(AB)` along `vec(CD)`.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(21)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|23 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practive Work|36 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati-2hatj-4hatk are coplanar.

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

Vectors 5hati+yhatj+hatk,2hati+2hatj-2hatk and -hati+2hatj+2hatk are coplaner then find the value of y.

vec(a)=2hati-2hatj+hatk,vec(b)=hati+2hatj-2hatk and vec( c )=2hati-hatj+4hatk then find the projection of vec(b)+vec( c ) on vec(a) .

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

Find the value of a so that the four points with position vectors -hatj+hatk,2hati-hatj-hatk,hati+lambdahatj+hatk and 3hatj+3hatk are co-plannar.

If the vectors 6hati-2hatj+3hatk,2hati+3hatj-6hatk and 3hati+6hatj-2hatk form a triangle, then it is

If the figure formed by the four points hati+hatj-hatk,2hati+3hatj,3hati+5hatj-2hatk and hatk-hatj is

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. Find the unit vector in the direction of sum of vectors vec(a)=2hati-h...

    Text Solution

    |

  2. If bar(a)=hati+hatj+2hatk and bar(b)=2hati+hatj-2hatk, find the unit v...

    Text Solution

    |

  3. Find a unit vector in the direction of vec(PQ), where P and Q have coo...

    Text Solution

    |

  4. If A and B are the positon vectors of bar(a) and bar(b) respectively, ...

    Text Solution

    |

  5. Using vectors, find the value of k, such that the points (k,-10,3),(1,...

    Text Solution

    |

  6. A vector bar( r ) is inclined at equal angles to the three axes. If th...

    Text Solution

    |

  7. If a vector vec( r ) has magnitude 14 and direction ratios 2, 3, -6. T...

    Text Solution

    |

  8. Find a vector of magnitude 6, which is perpendicualr to both the vecto...

    Text Solution

    |

  9. Find the angle between the vectors 2hati-hatj+hatk and 3hati+4hatj-hat...

    Text Solution

    |

  10. If bar(a)+bar(b)+bar( c )=0, then show that bar(a)xx bar(b)=bar(b)xx b...

    Text Solution

    |

  11. Find the sine of the angle between the vectors bar(a)=3hati+hatj+2hatk...

    Text Solution

    |

  12. If A, B, C and D are the points with position vectors hati+hatj-hatk,2...

    Text Solution

    |

  13. Using vectors, find the area of the DeltaABC with vertices A(1,2,3),B(...

    Text Solution

    |

  14. Using vectors, prove that the parallelogram on the same base and betwe...

    Text Solution

    |

  15. Prove that in any DeltaABC,cos A=(b^(2)+c^(2)-a^(2))/(2bc) where a, ...

    Text Solution

    |

  16. Show that area of the parallelogram whose diagonals are given by vec(a...

    Text Solution

    |

  17. If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=bar(j)-bar(k), then find a v...

    Text Solution

    |