Home
Class 12
MATHS
Find the scalar product of the following...

Find the scalar product of the following pairs of vectors and the angle between them. `2hati-3hatj+6hatk` and `2hati-3hatj-5hatk`

Text Solution

Verified by Experts

The correct Answer is:
`-17, cos^(-1)((-17)/(7sqrt(38)))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exercise 12(c))|28 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exercise 12(d))|17 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exericise 12(a))|46 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

Find the scalar product of the following pairs of vectors and the angle between them. hati-hatj and hatj+hatk

Find the scalar product of the following pairs of vectors and the angle between them. 3hati-4hatj and -2hati+hatj

Find the angle between the vectors 3hati+ 4hatj and 2hati+hatj+hatk .

Find the angle between the vectors 3hati + 4hatj and 2hati+hatj+sqrt3hatk

Find the angle between the vectors vecp=3hati+hatj+2hatk and vecQ=hati-2hatj+3hatk .

Find sine of the angle between the vectors vecA=hati+2hatj+3hatk and vecB=2hati-hatj+hatk

Determine the sine of the angle between the vectors hat-3hatj+hatk, hati+hatj+hatk

Determine the sine of the angle between the vectors 5hati-3hatj, 3hati-2hatk

Find the scalar triple product vecb.(veccxxveca) where veca, vecb and vecc are respectively 5hati-hatj+4hatk, 2hati+3hatj+5hatk, 5hati-2hatj+6hatk

Find a unit vector perpendicular to the following two vectors veca =2hati+3hatj+6hatk and vecb = 3 hati-6 hatj+2 hatk

ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exercise 12(b))
  1. If vec(a)*vec(b)=vec(c)*vec(a) for all vectors vec(a), then

    Text Solution

    |

  2. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  3. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  4. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  5. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  6. If A,B,C are the points (1,0,2), (0,3,1) and (5,2,0) respectively, fin...

    Text Solution

    |

  7. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  8. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  9. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  10. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  11. Find the scalar and vector projection of veca on vecb. veca = hati, v...

    Text Solution

    |

  12. Find the scalar and vector projections of vec a on vec b vec a = ha...

    Text Solution

    |

  13. Find the scalar and vector projections of vec a on vec b vec a = hat...

    Text Solution

    |

  14. In each of the problems given below, find the work done by a force F a...

    Text Solution

    |

  15. In each of the problems given below, find the work done by a force F a...

    Text Solution

    |

  16. In each of the problems given below, find the work done by a force vec...

    Text Solution

    |

  17. In each of the problems given below, find the work done by a force F a...

    Text Solution

    |

  18. If (a + b).(a-b) = 0 show that |a| = |b|.

    Text Solution

    |

  19. If a and b are perpendicular vectors show that (veca+vecb)^2 = (veca-v...

    Text Solution

    |

  20. Prove that two vactors are perpendicular iff |veca+vecb|^2 = |veca|^...

    Text Solution

    |