Home
Class 12
MATHS
If alpha, beta and gamma be the angle ma...

If `alpha, beta and gamma` be the angle made by the vector `3bar(i)-6bar(j)+2bar(k)` with the positive direction of the coordinate axes, then find `cos alpha, cos beta, cos gamma`.

Text Solution

Verified by Experts

The correct Answer is:
`cos alpha = 3/7; cos beta = -6/7; cos gamma = 2/7`
Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Product of vectors )|73 Videos

  • 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) (Matrices)|58 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 alpha, beta and gamma are the angles made by the vector 3bar(i)-6bar(j)+2bar(k) with the positive directions of the coordinate axes then find cosalpha, cosbeta and cosgamma .

If alpha, beta, gamma are the angles made by a line with the positive directions of the coordinate axes, then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

If alpha, beta and gamma are the angles made by a vector with X, Y and Z- axes then sin^(2) alpha + sin^(2) beta + sin^(2) gamma is

A vector makes angles alpha , beta and gamma with the X, Y and Z axes respectively. Find the value of the expression ( sin^2 alpha + sin^2 beta + sin^2 gamma)/( cos^2 alpha + cos ^2 beta + cos^2 gamma)

If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vector bar(c) and the vector 3bar(i)+4bar(j) , then the unit vector in the direction of bar(c) is

cos alpha + cos beta + cos gamma + cos ( alpha + beta + gamma ) =

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Addition of vectors)
  1. Show that the points whose P,V are -2bar(a)+3bar(b)+5bar(c ), bar(a)+2...

    Text Solution

    |

  2. If bar(OA) = bar(i) + bar(j)+ bar(k), bar(AB) = 3bar(i)-2bar(j)+bar(k)...

    Text Solution

    |

  3. Find the vectore equation of the line passing through the point 2bar(i...

    Text Solution

    |

  4. Find the vector equation of the line passing through the points 2bar(i...

    Text Solution

    |

  5. OABC is a parallelogram. If bar(OA) = bar(a),bar(OC) = bar(c ) find th...

    Text Solution

    |

  6. Find the vector equation of the plane passing through the points bar(i...

    Text Solution

    |

  7. Let bar(a)=bar(i)+2bar(j)+3bar(k)andbar(b)=3bar(i)+bar(j). . Find a ...

    Text Solution

    |

  8. Find a vector in the direction of vector bar(a) = bar(i) - 2bar(j) has...

    Text Solution

    |

  9. Find unit vector in the direction of vector bar(a) = (2bar(i)+3bar(j)+...

    Text Solution

    |

  10. Write direction ratios of the vector bar(r ) = bar(i) + bar(j) - 2bar(...

    Text Solution

    |

  11. If alpha, beta and gamma be the angle made by the vector 3bar(i)-6bar(...

    Text Solution

    |

  12. Find the angles made by the straight line passing through the points (...

    Text Solution

    |

  13. Consider two points P and Q with position vectors bar(OP) = 3bar(a) - ...

    Text Solution

    |

  14. Consider two points P and Q with position vectors bar(OP) = 3bar(a) - ...

    Text Solution

    |

  15. Show that the points A(2bar(i)-bar(j)+bar(k)), B(bar(i)-3bar(j)-5bar(k...

    Text Solution

    |

  16. Show that the triangle formed by the vectors 3bar(i)+5bar(j)+2bar(k), ...

    Text Solution

    |

  17. S.T the points whose P.V are bar(a) - 2bar(b) + 3bar(c ), 2bar(a)+3bar...

    Text Solution

    |

  18. ABCDE is a pentagon. If the sum of the vectors bar(AB),bar(AE), bar(...

    Text Solution

    |

  19. If bar(a), bar(b), bar(c ) are P.V's of the vertices A,B,C respectivel...

    Text Solution

    |

  20. Find the vector equation of plane passing through Points (0,0,0) , (0,...

    Text Solution

    |