Home
Class 12
MATHS
If bar(a) , bar(b) and bar(a)-sqrt2bar(b...

If `bar(a) , bar(b)` and `bar(a)-sqrt2bar(b)` are unit vectors, then what is the angle between `bar(a), bar(b)` ?

Text Solution

Verified by Experts

The correct Answer is:
`theta = 45^(@)`
Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)|138 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Hyperbolic Functions)|23 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Addition of vectors)|26 Videos

  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos

  • IPE-MARCH-2016[TS]

    SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 Videos

Similar Questions

Explore conceptually related problems

Let bar(a) = 2bar(i)-bar(j)+bar(k), bar(b) = 3bar(i) + 4bar(j) -bar(k) and if theta is the angle between bar(a), bar(b) then find sin theta .

Ig |bar(a)| = 11 ,|bar(b)| = 23,|bar(a)-bar(b)| = 30 then find the angle between the vectors bar(a),bar(b) and also find |bar(a)+bar(b)| .

If bar(a) , bar(b) are non-zero vectors such that |bar(a)+bar(b)|^2 = |bar(a)|^(2)+ |bar(b)|^(2) , then find the angle between bar(a) , bar(b) .

If |bar(a)+bar(b)| = |bar(a)-bar(b)| then find the angle between bar(a) and bar(b) .

If bar(a) = 2bar(i) + 2bar(j) - 3bar(k), bar(b) = 3bar(i) - bar(j) + 2bar(k) then find the angle between 2bar(a)+bar(b) and bar(a) + 2bar(b) .

If bar(a) = 6bar(i) + 2bar(j) + 3bar(k) and bar(b) = 2bar(i) - 9bar(j) + 6bar(k) , then find bar(a).bar(b) amd the angle between bar(a) and bar(b) .

If |bar(a) xx bar(b)|= bar(a).bar(b) , then find the angle between the vectors bar(a) and bar(b) .

if bar(a) + bar(b) + bar(c ) = bar(0), |bar(a)| = 3, |bar(b)| = 5, |bar(c )| = 7 then find angle between bar(a) , bar(b) .

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k...

    Text Solution

    |

  2. If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0, then show that bar(a) + ...

    Text Solution

    |

  3. If bar(a) , bar(b) and bar(a)-sqrt2bar(b) are unit vectors, then what ...

    Text Solution

    |

  4. If bar(a) , bar(b) are non-zero vectors such that |bar(a)+bar(b)|^2 =...

    Text Solution

    |

  5. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

    Text Solution

    |

  6. bar(a), bar(b) , bar(c ) are pair wise non zero and non collinear vect...

    Text Solution

    |

  7. Find unit vector parallel to the XOY-plane and perpendicular to the ve...

    Text Solution

    |

  8. Find the equation of the plane through the point (3,-2,2) and perpendi...

    Text Solution

    |

  9. For any vector bar(a) show that |bar(a) xx bar(i)|^(2) + |bar(a) xx ba...

    Text Solution

    |

  10. Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...

    Text Solution

    |

  11. If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=2bar(i)+bar(j)+bar(k), bar(c )...

    Text Solution

    |

  12. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

    Text Solution

    |

  13. Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...

    Text Solution

    |

  14. Prove that bar(a)x[bar(a)x(bar(a) x bar(b))] = (bar(a).bar(a))(bar(b)x...

    Text Solution

    |

  15. Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-b...

    Text Solution

    |

  16. Ig |bar(a)| = 11 ,|bar(b)| = 23,|bar(a)-bar(b)| = 30 then find the ang...

    Text Solution

    |

  17. If bar(P),bar(Q),bar(R) and bar(S) are points whose position vectors a...

    Text Solution

    |

  18. Let bar(a) = 2bar(i) + 3bar(j) + bar(k), bar(b) = 4bar(i) + bar(j) and...

    Text Solution

    |

  19. Let bar(e1) and bar(e2) be unit vectors making angle theta. If 1/2|bar...

    Text Solution

    |

  20. Find the equation of the line passing through the point 2bar(i)+3bar(j...

    Text Solution

    |