Home
Class 12
MATHS
Express the vector a=5hati-2hatj+5hatk a...

Express the vector `a=5hati-2hatj+5hatk` as sum of two vectors such that one is parallel to the vector `b=3hati+hatk` and the other is perpendicular to b.

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

The direction cosines of the vector 3hati-4hatj+5hatk are

Show that vectors vecA= 3hati+ hatj+ hatk and vecB= hati+ 2hatj- 5hatk are perpendicular to each other.

The sine of the angle between the vector a=3hati+hatj+hatk and b=2hati-2hatj+hatk is

The scalar product of the vector veca=hati+hatj+hatk with a unit vector along the sum of vectors vecb=2hati+4hatj-5hatk and vecc=lambdahati+2hatj+3hatk is equal to one. Find the value of 'lambda' and hence find the unit vector along vecb+vecc .

If veca=4hati-hatj+hatk and vecb= 2hati-2hatj+hatk , then find a unit vector parallel to the vector veca + vecb .

Find a unit vector parallel to the sum of the vectors hati+hatj+hatk and 2hati-3hatj+5hatk .

The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of vectors 2hati+4hatj-5hatk and lambdahati+2hatj+3hatk is equal to one. Find the value of lambda .

The unit vector perpendicular to the vectors 6hati+2hatj+3hatk and 3hati-6hatj-2hatk , is

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. A,B,C and D are four points with position vectors vec a, vec b, vec c ...

    Text Solution

    |

  2. ABCDEF is a regular hexagon. Express the vectors vec (CD),vec (DE),vec...

    Text Solution

    |

  3. Express the vector a=5hati-2hatj+5hatk as sum of two vectors such that...

    Text Solution

    |

  4. Find the component of vector vec PQ where: P(2,3), Q(5,-3). Also, fi...

    Text Solution

    |

  5. Find the component of vector vec PQ where: P(-1,-3), Q(4,5).Also, fi...

    Text Solution

    |

  6. Find the component of vector vec (PQ) where: P(0,2), Q(-5,-6).Also, f...

    Text Solution

    |

  7. Find the component of vector vec( PQ) where: P(2,4), Q(5,3).Also, fin...

    Text Solution

    |

  8. In each of the following problems, components of vec AB along X-axis a...

    Text Solution

    |

  9. In each of the following problems, components of vec AB along X-axis a...

    Text Solution

    |

  10. In each of the following problems, components of vec AB along X-axis a...

    Text Solution

    |

  11. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  12. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  13. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  14. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  15. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  16. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  17. Find the corordinates of the terminal point of the position vector whi...

    Text Solution

    |

  18. Find the position vector of mid point of the line segment AB where A i...

    Text Solution

    |

  19. If vec a= 2 hat I - 3 hat j, vec b= 3 hat i+ 2 hat j and vec c= hat i+...

    Text Solution

    |

  20. Let A(2,-1), B(-1,2), C(3,1) and D(0,4). Show that vec (AB)= vec (CD).

    Text Solution

    |