Home
Class 12
PHYSICS
Vector B has x,y and z components of 4.0...

Vector B has x,y and z components of 4.00,6.00 and 3.00 units, respectively. Calculate the magnitude of B and the angle that B makes with the coordinates axes.

Text Solution

Verified by Experts

The correct Answer is:
` cos alpha=((4)/(sqrt(61))), cos beta=((6)/(sqrt(61))) cos gamma=((3)/(sqrt(61)))`, magnitude =`sqrt(61)`
Promotional Banner

Topper's Solved these Questions

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (S-2)|7 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (O-1) Single Correct Type Questions.|37 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Solved Examples|7 Videos

  • TEST PAPERS

    ALLEN |Exercise MATHS|1 Videos

  • WAVE OPTICS

    ALLEN |Exercise Exercise 2 (Previous Year Questions)|7 Videos

Similar Questions

Explore conceptually related problems

The x and y-components of vector A are 4 m and 6 m respectively. The x and y-components of vector A + B are 10 m and 9 m respectively. Calculate for the vector B the following: (a) its x and y-components (b) its length (c ) the angle it makes with x-axis.

A manufacture produces three products x,y,z which he sells in two markets . Annual sales are indicated below : (a) If unit sale prices of x,yand z are Rs. 2.50, Rs. 1.50 and Rs. 1.00 , respectively, find the total revenue in each market with the help of matrix algebra. (b) If the unit costs of the above three commodities are Rs. 2.00, Rs. 1.00 and 50 paise repectively .Find the gross profit.

Find equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

A vector vec(A) and vec(B) make angles of 20^(@) and 110^(@) respectively with the X-axis. The magnitudes of these vectors are 5m and 12m respectively. Find their resultant vector.

The resultant of the vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between vecA" and "vecB is :-

Two vectors of equal magnitude 5 unit have an angle 60^0 between them. Find the magnitude of (a) the sum of the vectors and (b) the difference of the vectors. . .

Two bodeis A and B of masses 5.00 kg and 10.0 kg respectively moving in opposite directions with velocities 4.00 m/s and 0.50 m/s respectively make head-on collision in free space. The force of their mutual interaction varies according to the given graph. Select incorrect statement.

X- component of vec(a) is twice of its Y- component. If the magnitude of the vector is 5sqrt(2) and it makes an angle of 135^(@) with z-axis then the components of vector is:

Vector vec(a) has components a_(x)=3, a_(y)=4 . Find the components of a vector vec(c) which is perpendicular to vec(a) and has a magnitude of 5 units.

ALLEN -UNIT & DIMENSIONS, BASIC MATHS AND VECTOR -Exercise (S-1)
  1. The time period (T) of a spring mass system depends upon mass (m) & s...

    Text Solution

    |

  2. The distance moved by a particle in time from centre of ring under th...

    Text Solution

    |

  3. A satellite is orbiting around a planet. Its orbital velocity (V(0)) i...

    Text Solution

    |

  4. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  5. Given vecF=(veca)/(t) where symbols have their usual meaning. The dime...

    Text Solution

    |

  6. A block is applied two forces of magnitude 5N each. One force is actin...

    Text Solution

    |

  7. Two forces act on a particle simultaneously as shown in the figure. F...

    Text Solution

    |

  8. The maximum and minimum magnitudes of the resultant of two forces are ...

    Text Solution

    |

  9. Three forces of magnitudes 2N, 3N and 6N act at corners of a cube alon...

    Text Solution

    |

  10. The farm house shown in figure has rectangular shape and has sides par...

    Text Solution

    |

  11. Vector B has x,y and z components of 4.00,6.00 and 3.00 units, respect...

    Text Solution

    |

  12. Three ant P,Q and R are pulling a grain with forces of magnitude 6N,3s...

    Text Solution

    |

  13. Three boys are pushing horizontally a box placed on horizontal table. ...

    Text Solution

    |

  14. Consider the two vectors : vecL=1hati+2hatj+3hatk " and " vecl=4hati+h...

    Text Solution

    |

  15. Find component of vector vec(a)=hati+hatj+3hatk in directions parallel...

    Text Solution

    |

  16. Calculate vecr=veca-vecb+vecc where veca=5hati+4hatj-6hatk, vecb=-2hat...

    Text Solution

    |

  17. If the velocity of a particle is (2hati+3hatj-4hatk) and its accelerat...

    Text Solution

    |

  18. Quito, a city in Ecuador and Kampala, a city situated in Uganda both l...

    Text Solution

    |

  19. Use the approximation (1+x)^(n)~~1+nx,|x|ltlt1, to find approximate va...

    Text Solution

    |

  20. Use the small angle appoximate to find approximate values for (A) sin ...

    Text Solution

    |