Home
Class 12
PHYSICS
Vector vec(a) has components a(x)=3, a(y...

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.

A

`c_(x) = 4, c_(y) = -3`

B

`c_(x) = -4, c_(y) = 3`

C

`c_(x) = 4, c_(y) = 3`

D

both (1) & (2)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS & VECTORS

    VMC MODULES ENGLISH|Exercise Efficient|50 Videos

  • BASIC MATHEMATICS & VECTORS

    VMC MODULES ENGLISH|Exercise Impeccable|50 Videos

  • BASIC MATHEMATICS & VECTORS

    VMC MODULES ENGLISH|Exercise Impeccable|50 Videos

  • CAPACITORS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive ) LEVEL 48|1 Videos

Similar Questions

Explore conceptually related problems

What is the component of the vector vec(a) along the x-axis in the situation shown in figure ? |vec(a)| = 5 units.

Which of the following is the unit vector perpendicular to vec(A) and vec(B) ?

The resultant of two vectors vec(P) and vec(Q) is vec(R) . If vec(Q) is doubled then the new resultant vector is perpendicular to vec(P) . Then magnitude of vec(R) is :-

Find component of vector vec(a)=hati+hatj+3hatk in directions parallel to and perpendicular to vector vecb=hati+hatj .

Find a Vector in the direction of vec a= hat i-2 hat j that has magnitude 7 units.

Two vectors vec(P) " and "vec(Q) are added, the magnitude of resultant is 15 units. If vec(Q) is reversed and added to vec(P) resultant has a magnitude sqrt(113) units. The resultant of vec(P) and a vector perpendicular vec(P) and equal in magnitude to vec(Q) has a magnitude

There are two vector vec(A)=3hat(i)+hat(j) and vec(B)=hat(j)+2hat(k) . For these two vectors- (i) Find the component of vec(A) along vec(B) and perpendicular to vec(B) in vector form. (ii) If vec(A) & vec(B) are the adjacent sides of parallelogram then find the magnitude of its area. (iii) Find a unit vector which is perpendicular to both vec(A) & vec(B) .

A vector vec(B) which has a magnitude 8.0 is added to a vector vec(A) which lies along the x-axis. The sum of these two vector is a third vector which lies along the y-axis and has a magnitude that is twice the magnitude of vec(A) . Find the magnitude of vec(A)

If vec(a) and vec(b) are two vector such that |vec(a) +vec(b)| =|vec(a)| , then show that vector |2a +b| is perpendicular to vec(b) .

Two vectors vec(A) and vec(B) lie in X-Y plane. The vector vec(B) is perpendicular to vector vec(A) . If vec(A) = hat(i) + hat(j) , then vec(B) may be :

VMC MODULES ENGLISH-BASIC MATHEMATICS & VECTORS-Enable
  1. Let vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(k) and vec(C )=6hat(i)-2hat(k)...

    Text Solution

    |

  2. An object of m kg with speed of v m s^(-1) strikes a wall at an angle ...

    Text Solution

    |

  3. A particle P is atced by three coplanar forces as shown in the figure....

    Text Solution

    |

  4. If the resultant of the two forces has a magnitude smalle than the mag...

    Text Solution

    |

  5. Forces F(1) and F(2) act on a point mass in two mutually perpendicular...

    Text Solution

    |

  6. The angle between two vectors vec(A) and vec(B) is theta. Then the mag...

    Text Solution

    |

  7. A particle moves from position 3hat(i)+2hat(j)-6hat(k) to 14hat(i)+13h...

    Text Solution

    |

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

    Text Solution

    |

  9. If vec(A) xx vec(B) = vec(B) xx vec(A), then the angle between A to B ...

    Text Solution

    |

  10. Vector vec(a) has components a(x)=3, a(y)=4. Find the components of a ...

    Text Solution

    |

  11. If vec(P) xx vec(Q) =vec(R ), then which of the following statements i...

    Text Solution

    |

  12. If vec(A) = 4hat(i) - 2hat(j) + 6hat(k) and B = hat(i) - 2hat(j) - 3ha...

    Text Solution

    |

  13. The magnitudes of vectors vec(A),vec(B) and vec(C) are 3,4 and 5 unit ...

    Text Solution

    |

  14. A force vec(F) = (5hat(i) + 3hat(j)) N is applied over a particle whic...

    Text Solution

    |

  15. Projection of the vector 2hat(i) + 3hat(j) + 2hat(k) on the vector hat...

    Text Solution

    |

  16. The magnitude of the vector product of two vectors is sqrt(3) times th...

    Text Solution

    |

  17. a1 hati+a2hatj is a unit vector perpendicular to 4hati-3hatj if

    Text Solution

    |

  18. A unit vector in the xy-plane that makes an angle of pi/4 with the vec...

    Text Solution

    |

  19. Given that vec(A)+vec(B)+vec(C )=0.Out of three vectors,the two equal ...

    Text Solution

    |

  20. The ratio of maximum and minimum magnitudes of the resultant of two ve...

    Text Solution

    |