Home
Class 12
MATHS
If the vector 8 hat i + a hat j of magni...

If the vector `8 hat i + a hat j` of magnitude 10 is in the direction of the vector `4 hat i - 3 hat j`, then the value of a is equal to

A

6

B

3

C

`-3`

D

`-6`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise UNIT TEST|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Find the projection of the vector hat i + hat j on the vector hat i - hat j .

Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

The projection of the vector hat i + hat j + hat k along the vector hat j is

Find the unit vector in the direction of the vector vec a = hat i - hat j + 2 hat k .

Find a unit vector in the direction of the vector vec a = 2 hat i + 2 hat j + hat k .

Find a vector in the direction of vec r = 3 hat i - 4 hat j that has a magnitude 9.

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

Find a vector in the direction of veca = hat i - 2 hat j that has a magnitude 7 units.

Find a vector in the direction of the vector 5 hat i + hat j - 2 hatk which has magnitude 6 units.

Find the unit vector in the direction of the vector vec a = -hat i + 2hat j + 2 hat k .

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-OBJECTIVE TYPE QUESTIONS
  1. If a line lies in the octant OXYZ and it makes equal angles with the a...

    Text Solution

    |

  2. If the vector 8 hat i + a hat j of magnitude 10 is in the direction of...

    Text Solution

    |

  3. If 1/2, 1/3, n are the direction cosines of a line , then the values o...

    Text Solution

    |

  4. A vector of magnitude 7 units, parallel to the resultant of the vector...

    Text Solution

    |

  5. If the projections of vec(PQ) on OX , OY OZ are respectively 12, 3 and...

    Text Solution

    |

  6. The unit vector in the direction of the sum of vectors hat i + hat j +...

    Text Solution

    |

  7. If the points A and B are (1, 2, -1) and (2, 1, -1) respectively then ...

    Text Solution

    |

  8. If |vec a| = 4 and -3 le lambda le 2 then the range of |lambda vec a|

    Text Solution

    |

  9. If vec a and vec b are two unit vectors and theta is the angle between...

    Text Solution

    |

  10. If the vectors 3 hat i + lambda hat j + hat k and 2 hat i - hat j + 8 ...

    Text Solution

    |

  11. Let veca and vec b be two unit vectors such that angle between them i...

    Text Solution

    |

  12. The two variable vectors 3x hat i + y hat j - 3 hat k and x hat i - 4 ...

    Text Solution

    |

  13. Consider the vectors veca = hat i + 3 hat j + hat k and vec b = 2 hat ...

    Text Solution

    |

  14. If |vec a| = 3, | vec b| = 4, then the value of lambda for which vec ...

    Text Solution

    |

  15. If vec a and vec b are two non -zero vectors, then (vec a + vec b) .(v...

    Text Solution

    |

  16. vec a .(vec b + vec c) is equal to

    Text Solution

    |

  17. If vec a = hat i + 2 hat j - 3 hat k and vec b = 3 hat i - hat j + 2 h...

    Text Solution

    |

  18. If vec a and vec b are non - zero vectors and |vec a+ vec b| = |vec a ...

    Text Solution

    |

  19. The projection of the vector hat i + hat j + hat k along the vector ha...

    Text Solution

    |

  20. A unit vector perpendicular to the vectors veca = 2 hat i - 6 hat j - ...

    Text Solution

    |