Home
Class 12
MATHS
Let vec(a) = 2 hat (i) + 2 hat (j) + 2 h...

Let `vec(a) = 2 hat (i) + 2 hat (j) + 2 hat (k) , vec(b)= - hat (i) + 2 hat (j) + hat (k) and vec(c ) = 3 hat(i) + hat(j)` be three given vectors , if ` vec(a) + lambda vec(b) and vec (c ) ` are perpendicular to each other , find lambda .

Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Exercise 2B ( Short answer type questions)|20 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answers Type )|5 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Exercise 2A ( Short answer type questions)|41 Videos

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|18 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

Similar Questions

Explore conceptually related problems

Let vec(a) = 2 hat (i) + 2 hat (j) + 3 hat (k) , vec(b) = - hat(i)+ 2 hat(j)+ hat (k) and vec(c) = 3 hat (i) + hat (j) be three given vectors , if vec(a) + lambda vec(b) and vec(c ) are perpendicular to each other , find lambda

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find (vec(a) - 2 vec(b)) xx vec(c)

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find vec(a) xx vec(b)

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find (vec(a) + vec(b)) xx (vec(b)- vec(c ))

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find vec(c ) xx (-vec(a))

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find sine of the angle vec(a) and vec (c )

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find angle between vec(a) and vec(b)

If vec (alpha ) = - hat (i) + 2 hat (j) + hat (k) , vec(b) = 3 hat(i) + hat (j) + 2 hat (k) and vec(c ) = 2 hat (i) + hat (j) + 3 hat (k) , find [ vec(c ) vec(a) vec(b)]

If vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec(b) = hat (i) + hat (j) - hat (k) and |vec (a) xx vec(b)| = sqrt(13 m ) then the value of m is -

If vec (a) = 3 hat (i) + 2 hat (j) + 9 hat (k) and vec(b) = hat (i) + lambda hat (j) + 3 hat (k) , then find the value of lambda so that the vectors (vec(a) + vec(b)) and (vec(a) - vec(b)) are perpendicular to each other .

CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A ( Long answer type questions)
  1. Applying vectors , show that (a(1)b(1)+a(2)b(2)+a(3)b(3))^(2)le (a(1...

    Text Solution

    |

  2. By vector method show that , an angle inscribed in a semi - circle i...

    Text Solution

    |

  3. By vector method show that , the parallelogram whose diagonals are e...

    Text Solution

    |

  4. By vector method show that , the perpendicular bsectors of the sides...

    Text Solution

    |

  5. By vector method show that , median to the base of an isocales tria...

    Text Solution

    |

  6. A(3,-1,2),B(2,-3,3) and C(1,-2,1) are three given points . Find the a...

    Text Solution

    |

  7. Three vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) +...

    Text Solution

    |

  8. The scaler product of the vector hat (i) + hat (j) + hat (k) with th...

    Text Solution

    |

  9. Let vec(a) = 2 hat (i) + 2 hat (j) + 3 hat (k) , vec(b) = - hat(i)+ 2...

    Text Solution

    |

  10. Let vec(a) = 2 hat (i) + 2 hat (j) + 2 hat (k) , vec(b)= - hat (i) + 2...

    Text Solution

    |

  11. If hat (i) + hat (j) + hat (k) , 2 hat(i) + 5 hat (j) , 3 hat (i) + 2...

    Text Solution

    |

  12. Express the vector vec(a) = 5 hat (i) - 2 hat (j) + 5 hat (k) as sum ...

    Text Solution

    |

  13. If vec(a) = vec(0) or vec(b) = vec(0) then vec(a).vec(b) = 0 , show ...

    Text Solution

    |

  14. If vec(a) = 3 hat (i) + 4 hat (j) - hat(k) , vec(b) = hat(i) - 3 hat (...

    Text Solution

    |

  15. Let vec(a),vec(b),vec (c ) be the positions vectors of the vertices of...

    Text Solution

    |

  16. Given vec (a) = 4 hat (i) + 5 hat (j) - hat (k), vec(b) = hat (i) - 4 ...

    Text Solution

    |