Home
Class 12
MATHS
If vec a is a non-zero vector of magnitu...

If `vec a` is a non-zero vector of magnitude ‘a’ and `λ` a non-zero scalar, then `λ vec a` is unit vector if `λ =1`

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if a = |λ|

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if a = 1/ |λ|

If veca is a nonzero vector of magnitude 'a' and lambda a nonzero scalar, then lambdaveca is unit vector if:

If veca is a non-zero vector of modulus a and m is a non-zero scalar, then mveca is a unit vector if

If veca is a non-zero vector of magnitude 'a' and 'lambda' is a non-zero scalar, such that |lambdaveca|=1 , then :

If vec a is a non-zero vector and λ is a real number st. |λ vec a|= 1 , then |λ| is equal to......

If vec b is a non-zero vector, then projection of vec a on vec b is

A vector with magnitude zero is called a

If vec a is any vector, then vec a*vec a

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Show that the points A(1,2,7), B(2,6,3) and C(3,10,-1) are collinear.

    Text Solution

    |

  2. Show that the points A(2 hat i - hat j + hat k), B(hat i - 3 hat j- 5 ...

    Text Solution

    |

  3. If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar...

    Text Solution

    |

  4. If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar...

    Text Solution

    |

  5. If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar...

    Text Solution

    |

  6. If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar...

    Text Solution

    |

  7. Find |vec a xx vec b|, if vec a = 2hat i-5 hat j+3 hat k and vec b = h...

    Text Solution

    |

  8. Find a unit vector perpendicular to each of the vectors vec a+vec b an...

    Text Solution

    |

  9. If a unit vector vec a, makes angles pi/3 with hat i. pi/4 with hat j ...

    Text Solution

    |

  10. Show that (a-b)xx(a+b)=2(axxb)

    Text Solution

    |

  11. Find λ and μ if (2 hat i + 6 hat j+27 hat k) xx (hat i +λ hat j +μ hat...

    Text Solution

    |

  12. Given that vec a* vec b=0 and vec a xx vec b= vec 0. What can you conc...

    Text Solution

    |

  13. Let the vectors vec a, vec b, vec c be given as a1 hat i + a2 hat j +...

    Text Solution

    |

  14. If either vec a = vec 0 or vec b = vec0, then vec a xx vecb = vec 0. I...

    Text Solution

    |

  15. Find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) a...

    Text Solution

    |

  16. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  17. Let the vectors vec and vec b be such that |vec a|= 3 and |vec b|= sqr...

    Text Solution

    |

  18. Area of a rectangle having vertices A [- hat i +1/2 hat j +4 hat k], B...

    Text Solution

    |

  19. Find [vec a, vec b, vec c] if vec a= hati -2 hat j+ 3 hat k, vec b=2 h...

    Text Solution

    |

  20. Show that the vectors vec a= hat i- 2hat j+ 3hat k, vec b,= -2hat i + ...

    Text Solution

    |