Home
Class 12
PHYSICS
What is the length of projection of vec(...

What is the length of projection of `vec(A)=3hat(i)+4hat(j)+5hat(k)` on `xy` plane ?

A

`5`

B

`3`

C

`5sqrt2`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
A
Legnth of projection on `xy` plane is `=sqrt(3^(2)+4^(2))=5`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

What is the value of linear velocity, if vec(omega)=3hat(i)-4hat(j)+hat(k) and vec(R)=5hat(i)-6hat(j)+6hat(k) .

Find the projection of the vector vec(P) = 2hat(i) - 3hat(j) + 6 hat(k) on the vector vec(Q) = hat(i) + 2hat(j) + 2hat(k)

Find lambda where projection of vec (a) = lambda hat (i) + hat (j) + 4 hat (k) on vec (b) = 2 hat (i) + 6 hat (i) + 3 hat (k) is 4 unit

Write the the projections of vec r=3 hat i-4 hat j+12 hat k on the coordinate axes.

Find the image of the point having position vector hat(i) + 3hat(j) + 4hat(k) in the plane vec(r ).(2hat(i) - hat(j) + hat(k))+ 3=0

A unit vector in the dirction of resultant vector of vec(A)= -2hat(i)+3hat(j)+hat(k) and vec(B)= hat(i)+2hat(j)-4hat(k) is

The angle between the two Vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(B)= 3hat(i)+4hat(j)-5hat(k) will be

Find the scalar and vector products of two vectors vec(A)=(3hat(i)-4hat(j)+5hat(k)) "and" vec(B)=(-2hat(i)+hat(j)-3hat(k)) .

Unit vectors perpendicular to the plane of vectors vec(a) = 2 hat(*i) - 6 hat(j) - 3 hat(k) and vec(b) = 4 hat(i) + 3 hat(j) - hat(k) are

The unit vactor parallel to the resultant of the vectors vec(A)=4hat(i)+3hat(j)+6hat(k) and vec(B)=-hat(i)+3hat(j)-8hat(k) is :-

ALLEN-TEST PAPER-Exercise (Physics)
  1. Four forces act on a particle as shown in the figure such that net for...

    Text Solution

    |

  2. Two forces f(1)=4N and f(2)=3N are acting on a particle along positve ...

    Text Solution

    |

  3. What is the length of projection of vec(A)=3hat(i)+4hat(j)+5hat(k) on ...

    Text Solution

    |

  4. The compenent of vec(A)=hat(i)+hat(j)+5hat(k) perpendicular to vec(B)=...

    Text Solution

    |

  5. Two block A and B are as shown in figure. The minimum horizantal force...

    Text Solution

    |

  6. A block of mass 2 kg is connected with a spring of natural length 40 c...

    Text Solution

    |

  7. A block of mass 2kg is pushed down an inclined plane of angle 37^(@) a...

    Text Solution

    |

  8. Rank in order, from largest to smallest, the sizes of the friction for...

    Text Solution

    |

  9. Determine the time in which the smaller block reaches other end of big...

    Text Solution

    |

  10. Sixteen beads in a string are placed on a smooth inclined plane to inc...

    Text Solution

    |

  11. A pebbel is thrown horizantally from the top of a 20 m high tower with...

    Text Solution

    |

  12. A stone is thrown at an angle theta to the horizontal reaches a maximu...

    Text Solution

    |

  13. A particle travels with speed 100m//s from the print (10, 20) in a dir...

    Text Solution

    |

  14. The motion of a particle is defined by the position vector vec(r)=(c...

    Text Solution

    |

  15. A car goes A to B along the path with constant accelertion "a" as show...

    Text Solution

    |

  16. A ball is thrown vertcally upwards with a velocity v and an intial kin...

    Text Solution

    |

  17. In a second ODI match between England and India Bhuwnesh kumar bowled ...

    Text Solution

    |

  18. In a second ODI match between England and India Bhuwnesh kumar bowled ...

    Text Solution

    |

  19. In a second ODI match between England and India Bhuwnesh kumar bowled ...

    Text Solution

    |

  20. A particle is projected vertically upwards with a speed of 16ms^-1. Af...

    Text Solution

    |