Home
Class 11
PHYSICS
The angle between vecF =(1,-3, 1)and vec...

The angle between `vecF =(1,-3, 1)`and `vecd =(2,-3,-11)` will b e ...... rad.

A

0

B

`(pi)/(4)`

C

`(pi)/(2)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
C

`cos theta = (vec(F).vec(D ))/(Fd ) = ((1,-3,-1).(2,-3,-11))/(sqrt(11)sqrt(134))`
`cos theta = (2+ 9 - 11)/(sqrt(11) squr(134))`
`=(0)/(sqrt(1474))`
`=0`
`theta = (pi)/(2)`
Promotional Banner

Topper's Solved these Questions

  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise SECTION-F (QUESTIONS FROM MODULE)|22 Videos
  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise (QUESTION PAPER) SECTION-A|5 Videos
  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise SECTION-D(NCERT EXEMPLAR SOLUTIONS)|42 Videos
  • GRAVITATION

    KUMAR PRAKASHAN|Exercise QUESTIONS PAPER Section - D|1 Videos
  • MACHANICAL PROPERTIES OF SOLIDS

    KUMAR PRAKASHAN|Exercise QUESTION PAPER|11 Videos

Similar Questions

Explore conceptually related problems

The angle between the vectors (2,-1,1) and (1,-1,2) is ……………

The angle between the planes bar r(1,2,-1) =3 and 2x - y +2z = 2 is.............

The angle between the planes bar.r (1,2,-1) = 3 and 2x -y + 2z = 2 is .......... .

The angle between the lines bar = (-3,5,-1) + k(1,2,1), k in R and bar r = (1,3,-2) + k (6,-3,0), k in R is ....

Find angles between the lines sqrt(3) x +y=1 and x+ sqrt(3) y=1 .

The angle between two vectors a and b with magnitudes sqrt(3) and 4, respectively and bar(a).bar(b)=2sqrt(3) is ………….

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

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

Two forces vecF_(1)=(3N)hati-(4N)hatj and vecF_(2)=-(1N)hati-(2N)hatj act on a point object. In the given figure which of the six vectors represents vecF(1) and vecF_(2) and what is the magnitude of the net forces

The vertices of a triangle are A(1,1,2), B (4,3,1) and C (2,3,5). The vector representing internal bisector of the angle A is

KUMAR PRAKASHAN-LAW OF MOTION-SECTION -E(MULTIPLE CHOICE QUESTIONS) (MCQS)
  1. M = 5 kg. The co-efficient of static friction between the block and th...

    Text Solution

    |

  2. A body of mass 10 kg at rest is applied with perpendicular force of 4 ...

    Text Solution

    |

  3. The angle between vecF =(1,-3, 1)and vecd =(2,-3,-11) will b e ...... ...

    Text Solution

    |

  4. A disc is rotatin g aro u n d its cen tre in a horizontal plane at the...

    Text Solution

    |

  5. A bomb in the steady state explodes into three fragments. Two fragm en...

    Text Solution

    |

  6. Block of mass m is placed on frictionless slope with angle 0. Normal f...

    Text Solution

    |

  7. The upper half of an in clin ed plane of inclination 30^(@) is perfect...

    Text Solution

    |

  8. When a force acts on a body of mass 0.1 kg, the change in its velocity...

    Text Solution

    |

  9. A force of 8 N acts on an object of mass 2 kg in X-direction and anoth...

    Text Solution

    |

  10. Three blocks with masses m, 2m and 3m are connected by strings as show...

    Text Solution

    |

  11. A rod PQ of mass M and length L is hinged at end P. The rod is kept ho...

    Text Solution

    |

  12. An explosion breaks a rock into three parts in a horizontal plane. Two...

    Text Solution

    |

  13. The u p p er half of an in clin ed p lane of inclination theta is perf...

    Text Solution

    |

  14. A system consists of three masses m(1) m(2) and m(3) connected by a st...

    Text Solution

    |

  15. The force ‘F’ acting on a particle o f mass ‘m ’ is indicated by the f...

    Text Solution

    |

  16. A ballon with mass 'm’ is descending down with an acceleration ‘a' (wh...

    Text Solution

    |

  17. A body of m ass (4m) is lying x-y p lan e at rest. It su d d en ly ex...

    Text Solution

    |

  18. Three blocks A, B and C of m asses 4kg, 2kg and lkg respectively are i...

    Text Solution

    |

  19. A block A of m ass rests on a horizontal table. A lig h t strin g conn...

    Text Solution

    |

  20. A plank w ith a box on it atone end is gradually raised about the othe...

    Text Solution

    |