Home
Class 12
MATHS
If bar(a),bar(b),bar (c ) are pair wise ...

If `bar(a),bar(b),bar (c )` are pair wise mutually perpendicular vectors of equal magnitude , then the angle wisv `bar(a)+bar(b)+bar (c )` is

A

`cos ^(-1)(1/(sqrt(3)))`

B

`cos^(-1)(1/3)`

C

`cos^(-1)(2/(sqrt(3)))`

D

`cos^(-1)(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

If bar a, barb, barc are three mutually perpendicular vectors of equal magnitude, then the angle made by bar a+barb+barc with each of bar a, barb, barc is

If bar(a),bar(b) and bar(c) are mutually perpendicular vectors then [bar(a)bar(b)bar(c)]=

IF bar a , bar b , bar c are mutually perpendicular vectors having magnitudes 1,2,3 respectively then [ bar a + bar b + bar c " " bar b - bar a " " bar c ]=?

Let bar(a),bar(b),bar(c) be vectors of equal magnitude such that the angle between bar(a) and bar(b) is alpha,bar(b) and bar(c) is beta and bar(c) and bar(a) is gamma. Then the minimum value of cos alpha+cos beta+cos gamma is

Let bar(a),bar(b) be two non zero vectors such that vectors 3bar(a)-5bar(b) and 2bar(a)+bar(b) are mutually perpendicular. If bar(a)+4bar(b) and bar(b)-bar(a) are also mutually perpendicular then the cosine angle between bar(a) and bar(b) is

If a,b and c are mutually perpendicular vectors,thenprove that [bar(a)bar(b)bar(c)]^(2)=a^(2)b^(2)c^(2)

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) ,then the value of |bar(a)+bar(b)-bar(c)| is

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) on is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) then the value of |bar(a)+bar(b)-bar(c)| is

Let bar(a) and bar(b) be unit vector.If the vectors bar(c)=bar(a)+2bar(b) and bar(d)=5bar(a)-4bar(b) are perpendicular to the each other then angle between bar(a) and bar(b) is

If bar(a),bar(b),bar(c) are three vectors of magnitude sqrt(3),1,2 such that bar(a)xx(bar(a)xxbar(c))+3bar(b)=bar(0) and theta is the angle between bar(a) and bar(c) then cos^(2)theta=

MARVEL PUBLICATION-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. If a line makes angles theta(1), theta(2), theta(3) with the coordinat...

    Text Solution

    |

  2. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

    Text Solution

    |

  3. If bar(a),bar(b),bar (c ) are pair wise mutually perpendicular vectors...

    Text Solution

    |

  4. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

    Text Solution

    |

  5. A line makes 45^(@) with OX and equal angles with OY and OZ .Then the ...

    Text Solution

    |

  6. What is the angle between the two lines whose direction numbers are (s...

    Text Solution

    |

  7. If the line of the vector bar (r ) = lambda I + 2j - k makes angles a...

    Text Solution

    |

  8. The number of lines which are equally inclined to the axes is :

    Text Solution

    |

  9. The projection of the line segment joining the points A(-1,0,3) and B(...

    Text Solution

    |

  10. Direction Cosines of a normal to the XOY - plane are

    Text Solution

    |

  11. If the direction cosines of a line are 1/c,1/c,1/c rthen (A) c.0 (B) 0...

    Text Solution

    |

  12. A mirror and a source of light are situated at the origin O and at a...

    Text Solution

    |

  13. The direction Cosines of two lines at right angles are l(1),m(1),n(1)a...

    Text Solution

    |

  14. The graph of the equation x^2+y^2=0 in the three dimensional space is ...

    Text Solution

    |

  15. If the line OP of length r makes an angle alpha with the X - axis , an...

    Text Solution

    |

  16. l = m = n = 1 are the direction Cosines of

    Text Solution

    |

  17. STATEMENT-1 : The direction ratios of a line joining the points (0, 0,...

    Text Solution

    |

  18. Co - ordinates of the foot of the perpendicular from the point (a,b,c)...

    Text Solution

    |

  19. In three dimensional space , the equation xy = 0 represents

    Text Solution

    |

  20. In space , the equation 3x-4y=0 represents

    Text Solution

    |