Home
Class 12
MATHS
Find the angle between line (x+1)/2 = y/...

Find the angle between line `(x+1)/2 = y/3 = (z-3)/6` and the plane `10x + 2y -11z = 3`

Text Solution

Verified by Experts

The correct Answer is:
`theta = sin^(-1)((8)/(21))`
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 theta is the angle between the line (x+1)/(3) = (y-1)/(2) = (z-2)/(4) and the plane 2x + y - 3z +4=0 then (8)/(29)(cosec ^(2) theta) =

If the angle between the line x = (y -1)/(2) =(z-3)/(lamda) and the plane x + 2y + 3z = 4 is cos ^(-1) (sqrt (5 //14)) then lamda =

Find the angle between the line (x+1)/(3)=(y-1)/(2)=(z-1)/(4) and the plane 2x+y-3z+4=0 .

Find the distance between the line (x+1)/(-3)=(y-3)/(2)=(z-2)/(1) and the plane x+y+z+3=0 .

If angle theta between the line (x+1)/(1) = (y-1)/(2) = (z-2)/(2) and the plane 2x - y + sqrt lamda z + 4 =0 is such that sin theta = 1/3, the value of lamda is

Find the distance between the line (x-2)/(1)=(y-3)/(1)=(z-4)/(5) and the plane 2x+3y-z+5=0 .

The angle between the line (x-1)/(2)=(y-2)/(1)=(z+3)/(-2) and the plane x+y+4=0 is equal to

The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane 2x - y + z + 3 =0 is the line

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

    |