Home
Class 12
MATHS
Ig |bar(a)| = 11 ,|bar(b)| = 23,|bar(a)-...

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)|`.

Text Solution

Verified by Experts

The correct Answer is:
`theta = pi - cos^(-1)((125)/(253)) , 20`
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

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

If |bar(a)| = 13, |bar(b)| = 5, and bar(a).bar(b) = 60 , then find |bar(a) xx 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) , bar(b) and bar(a)-sqrt2bar(b) are unit vectors, then what is the angle between bar(a), bar(b) ?

The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle between the vectors bar(i)+bar(j) and bar(j)+bar(k) if

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) .

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 .

If |bar(a)|=2, |bar(b)|=3, (bar(a), bar(b))= pi//6 , then find (bar(a) xx bar(b))^(2)

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. Prove that bar(a)x[bar(a)x(bar(a) x bar(b))] = (bar(a).bar(a))(bar(b)x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k), then...

    Text Solution

    |

  9. If bar(a)bar(b)bar(c ) and bar(d) are vectors such that bar(a) xx bar(...

    Text Solution

    |

  10. If bar(a).bar(b) = bar(a).bar(c ) and bar(a) xx bar(b) = bar(a) xx bar...

    Text Solution

    |

  11. Find the equation of the plane passing through the point A=(2,3,-1),B=...

    Text Solution

    |

  12. Find the equation of the plane passing though the point A = (3, -2,-1)...

    Text Solution

    |

  13. Find the distance of a point (2,5,-3) form plane bar(r ).(6bar(i) - 3b...

    Text Solution

    |

  14. Find the angle between line (x+1)/2 = y/3 = (z-3)/6 and the plane 10x ...

    Text Solution

    |

  15. Compute [bar(i) - bar(j). bar(j) - bar(k). bar(k) -bar(i)].

    Text Solution

    |

  16. If bar(a) = bar(i) -2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c...

    Text Solution

    |

  17. For non coplanar vector, bar(a), bar(b) and bar(c ) determine p for wh...

    Text Solution

    |

  18. Determine lambda, for which the volume of the parallelopiped having co...

    Text Solution

    |

  19. If [bara+2bar b 2bar b+bar c 5bar c+bara]=k[bar a bar b bar c]

    Text Solution

    |

  20. Let bar(a),bar(b) be two non-collinear unit vectors, if bar(alpha) = b...

    Text Solution

    |