Home
Class 12
MATHS
Find the direction cosines of the vector...

Find the direction cosines of the vector ` 3hati+2hat j+hat k`

Text Solution

Verified by Experts

The correct Answer is:
d

Shortest distance
`= ((1+2)(-1)+(2-2)(-7)+ (1+3)(5))/(5sqrt3) = (17)/(5sqrt3)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise (Numerical)|10 Videos
  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|12 Videos
  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|4 Videos

Similar Questions

Explore conceptually related problems

Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

Find the direction cosines of the vector hat i + 2 hat j + 2 hat k .

Find a unit vector in the direction of the vector vec a = 2 hat i + 2 hat j + hat k .

Find the unit vector in the direction of the vector vec a = hat i - hat j + 2 hat k .

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

The unit vector in the direction of the sum of vectors hat i + hat j + hat k and 2 hat i + 3 hat j + 4 hat k is

Find the unit vector in the direction of the vector vec a = -hat i + 2hat j + 2 hat k .

Find the projection of the vector hat i + 3 hat j + 7 hat k on the vector 7 hat i - hat j + 8 hat k .

Find a vector in the direction of the vector 5 hat i + hat j - 2 hatk which has magnitude 6 units.

Write the direction ratios of the vector vec a = hat i - hat j + 2 hat k and hence calculate the direction cosines.

CENGAGE-THREE-DIMENSIONAL GEOMETRY -JEE Previous Year
  1. If the two lines (x-1)/(2)=(y+1)/(3)=(z-1)/(4)and(x-3)/(1)=(y-m)/(2)=z...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. A plane passes through (1,-2,1) and is perpendicualr to two planes 2x...

    Text Solution

    |

  4. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. Two lines L1x=5, y/(3-alpha)=z/(-2)a n dL2: x=alphay/(-1)=z/(2-alpha) ...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. In R^(3) let L be straight line passing through the origin. Suppose t...

    Text Solution

    |

  12. In R(3) , consider the planes P(1):y=0and P(2) : x+z=1. Let P(3) ...

    Text Solution

    |

  13. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Consider the line L 1 : (x +1)/3 = (y +2)/1 = (z+ 1)/2, L2 : (x-2)/1...

    Text Solution

    |

  16. Find the direction cosines of the vector 3hati+2hat j+hat k

    Text Solution

    |

  17. If f(x)=3x-2 and g(x)=2x+a and if fog=gof, then find the value of a

    Text Solution

    |

  18. Consider the linear equations ax+by+cz=0, bx+cy+az=0 and cx+ay+bz=0. ...

    Text Solution

    |

  19. Let f:R→R:f(x)=x^2 and g: R→R: g(x)=(x+1). Show that (gof)≠(fog).

    Text Solution

    |

  20. If the distance between the plane Ax 2y + z = d and the plane contain...

    Text Solution

    |