Home
Class 12
MATHS
Find lambda if the vectors hati+hatj+2ha...

Find lambda if the vectors `hati+hatj+2hatk, lambdahati-hatj+hatk` and `3hati-2hatj-hatk` are co-planar.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|119 Videos

Similar Questions

Explore conceptually related problems

Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3hati-2hatj-hatk are coplanar.

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

Find 'lambda' . If the vectors lambdahati+hatj+2hatk, 2hati-hatj+lambdahatk , and hati+lambdahatj-hatk are coplanar.

The vectors lambdahati + hatj + 2hatk, hati + lambdahatj +hatk, 2hati - hatj + 2hatk are coplanar, if:

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

The value of ‘ lambda ’ so that the vectors hati - 3̂ hatj + hatk , 2̂ hati + lambda hatj + hatk and 3 hati + hatj - 2 hatk are coplanar, will be

Find the scalar triple product vectors hati+2hatj+3hatk, hati-hatj+hatk and hati+hatj+hatk .

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

If the vectors 2hati-3hatj+4hatk and hati+2hatj-hatk and m hati - hatj+2hatk are coplanar, then the value of m is

MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Find the scalar triple product of vectors hati+2hatj+3hatk, -hati-hatj...

    Text Solution

    |

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

    Text Solution

    |

  3. Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3...

    Text Solution

    |

  4. Find the unit vector in the direction of 2hati+3hatj+hatk.\

    Text Solution

    |

  5. Let, veca = hati+2hatj and vecb = 2hati+hatj. If |veca| = |vecb|. Are ...

    Text Solution

    |

  6. Find the values of x & y so that vectors 2hati+3hatj and xhati+Yhatj a...

    Text Solution

    |

  7. Find the scalar and dot product of vectors hati+2hatj-3hatk and 2hati-...

    Text Solution

    |

  8. Show that (hati-hatj)/sqrt2 is a unit vector.

    Text Solution

    |

  9. Find the direction ratios and direction cosines of the vector veca = h...

    Text Solution

    |

  10. Show that the vectors 2hati-hatj+4hatk and -4hati+6hatj-8hatk are coll...

    Text Solution

    |

  11. Find |vecx|, if for a unit vector veca, (vecx-veca).(vecx+veca) = 12.

    Text Solution

    |

  12. Find |veca-vecb|, if two vectors veca and vecb are such that |veca| = ...

    Text Solution

    |

  13. If = veca = hati-7hatj+7hatk and vecb = 3hati-2hatj+2hatk find vecaxxv...

    Text Solution

    |

  14. Evaluate (3veca-5vecb).(2veca+7vecb)

    Text Solution

    |

  15. Find lambda and mu if (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk) =...

    Text Solution

    |

  16. Show that, (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb).

    Text Solution

    |

  17. Find the scalar triple product vectors hati+2hatj+3hatk, hati-hatj+hat...

    Text Solution

    |

  18. Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3...

    Text Solution

    |

  19. Show that the points A(-2, 3, 5), B(1, 2, 3) and C(7, 0, -1) are colli...

    Text Solution

    |

  20. Show that the points with position vectors hati+2hatj+7hatk, 2hati+6ha...

    Text Solution

    |