Home
Class 12
MATHS
If the vectors hati+2hatj+hatk & 2hati+3...

If the vectors `hati+2hatj+hatk` & `2hati+3hatj+alphahatk` are perpendicular, find `alpha`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Vectors vecP=hati+2hatj+3hatk and vecQ=2hati+ahatj-5hatk are perpendicular .Find a.

What is the value of x so that the vector 6hati+2hatj-3hatk and hati-4hatj+xhatk are perpendicular to each other.

If hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each other then find alpha

Prove that the vectors 2hati-hatj+hatk , hati-3hatj-5hatk , 3hati-4hatj-4hatk are the sides of a right angled triangle.

Write a vector normal to hati+hatk and hati+hatj .

If the vectors veca = 2hati + 3hatj +-6hatk and vecb = alphahati-hatj +2hatk are parallel, then alpha = ______

Decompose the vector 6hati-3hatj-6hatk into vectors which are parallel and perpendicular to the vector hati+hatj+hatk .

Show that the vectors 2hati + 3hatj,5hati -5hatk and 6hatj + 4hatk are co-planar.

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. How many independent constants are there in the general equation of a ...

    Text Solution

    |

  2. What is the range of the signum function?

    Text Solution

    |

  3. If the vectors hati+2hatj+hatk & 2hati+3hatj+alphahatk are perpendicul...

    Text Solution

    |

  4. Between tan 1 and tan^(-1)1, which is greater?

    Text Solution

    |

  5. Answer the following: In which inverval does the determinant A =[[1...

    Text Solution

    |

  6. What is AB – BA if A, B and AB are all symmetric matrices .

    Text Solution

    |

  7. If y =(cosx+sinx)/cosx, then what is dy/dx ?

    Text Solution

    |

  8. Write the order of the differential equation whose general solution is...

    Text Solution

    |

  9. Consider the binary operation * on the set {1,2,3,4,5} defined by a*...

    Text Solution

    |

  10. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

    Text Solution

    |

  11. Find the feasible solution region of the following system of inequatio...

    Text Solution

    |

  12. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

    Text Solution

    |

  13. Construct an example to show that f(A nn B )!= f(A) nn f(B) where A nn...

    Text Solution

    |

  14. Express [(1,2,3),(4,0,1),(-1,5,-2)] as a sum of a symmetric and a skew...

    Text Solution

    |

  15. Without expanding prove abs((bc, a, a^2),(ca, b, b^2),(ab, c, c^2))=ab...

    Text Solution

    |

  16. Find the inverse of the matrix [[1,2],[3,4]]

    Text Solution

    |

  17. Find A and B where 2A+B=[[2,2,5],[5,4,3],[1,1,4]]"and" A-2B=[[1,6,5],...

    Text Solution

    |

  18. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

    Text Solution

    |

  19. Find absolute maximum and absolute minimum of f(x)={((x+1)^2,xle0),((x...

    Text Solution

    |

  20. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

    Text Solution

    |