Home
Class 12
MATHS
If bar(a)=bar(i)+bar(j)+bar(k) and bar(b...

If `bar(a)=bar(i)+bar(j)+bar(k)` and `bar(b)=bar(j)-bar(k)`, then find a vector `vec( c )` such that `bar(a)xx bar( c )=bar(b)` and `bar(a).bar( c )=3`.

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

If |bar(x)+bar(y)|=|bar(x)-bar(y)| , then

If bar(a) = 3 bar(i) + 4 bar(j) + bar(k) and bar(b) = bar(i) + bar(j) - bar(k) , then "Comp"_(bar(b))bar(a)= . . . .

For a vector bar(a),bar(a)xx vec( r )=bar(j) then bar(a).bar( r ) = ………….

bar(a)=(1,2,-3),bar(b)=(2,1,-1) . The vector bar(mu) is such that bar(a)xx bar(mu)=bar(a)xx bar(b) and bar(a).bar(mu)=0 then |bar(mu)| = ………..

bar(a)=2bar(i)-3bar(j)+6bar(k) and bar(b)=-2bar(i)+2bar(j)-bar(k) then ("Proj"_(bar(b))bar(a))/("Proj"_(bar(a))bar(b))= .......

bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) are the sides of triangle OAB. Then its area is …… seq. unit.

If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=2,|bar(b)|=3 and |bar( c )|=5 , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) is ………..

[bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)] = …………….

bar(a),bar(b) and bar( c ) are non zero vectors. |(bar(a)xx bar(b))*bar( c )|=|bar(a)||bar(b)||bar( c )| then ……………

If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)+bar( c )=bar(0) , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)=…………

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

    |