Home
Class 11
PHYSICS
Let vec(A)=hat(i)A cos theta+hat(j)A sin...

Let `vec(A)=hat(i)A cos theta+hat(j)A sin theta`, be any vector. Another vector `vec(B)` which is normal to `vec(A)` is :-

A

`hatB cos theta+jBsintheta`

B

`hatBsintheta+jBcostheta`

C

`hatiBsintheta-iBcostheta`

D

`hatiBcostheta-iBsintheta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSION & MEASUREMENTS

    ERRORLESS |Exercise All Questions|333 Videos

  • WAVES AND SOUND

    ERRORLESS |Exercise SET|25 Videos

Similar Questions

Explore conceptually related problems

Given: vec(A)=Acos theta hat(i)+Asin theta hat(j) . A vector vec(B) , which is perpendicular to vec(A) ,is given by

Given a=hat i+2hat j+3hat k,vec b=-hat i+2hat j+hat k,vec c=3hat i+hat j find a unit vector in the direction of the resultant of these vectors.Also find a vector vec r which is normal to both vec a and vec b. What is the inclination of vec r to vec c?

Given the three vectors vec(a) = - 2hati + hat(j) + hat(k), vec(b) = hat(i) + 5hat(j) and vec(c) = 4hat(i) + 4hat(j) - 2hat(k) . The projection of the vector 3vec(a) - 2vec(b) on the vector vec(c) is

Given vec(A) = 3hat(i) + 2hat(j) and vec(B) = hat(i) + hat(j). The component of vector vec(A) along vector vec(B) is

Consider a vector vec(F)= 4hat(i)-3hat(j) . Another vector that is perpendicular to vec(F) is

Let vec(a)=hat(i)+2hat(j) and vec(b)=2hat(i)+hat(j) . (i) Then, |vec(a)|=|vec(b)| (ii) Then vectors vec(a) and vec(b) are equal.

Let vec a = hat i + hat j + hat k, vec b = hat i + 4 hat j - hat k, vec c = hat i + hat j + 2 hat k and hat s be a the unit vector the magnitude of the vector (vec a .vec s)(vec b xx vec c) + (vec b. vec s)(vec c xx vec a) + ( vec c.vec s)(vec a xx vec b) is equal to (A) 1 (B) 2 (C) 3 (D) 4

Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) and vec(c )= hat(j)-hat(k) be three vectors such that vec(a) xx vec(b)= vec(c ) and vec(a).vec(b)=1 . If the length of projection vector of the vector vec(b) on the vector vec(a) xx vec(c ) is l, then the vlaue of 3l^(2) is equal to ____

If vec(a) = hat(i) + 2 hat(j) + 3 hat(k) and vec(b) = 2 hat(i) + 3 hat(j) + hat(k) , find a unit vector in the direction of ( 2 vec(a) + vec(b)) .

Let vec a=2 hat i+ hat k , vec b= hat i+ hat j+ hat ka n d vec c=4 hat i-3 hat j+7 hat k be three vectors. Find vector vec r which satisfies vec rxx vec b= vec cxx vec ba n d vec rdot vec a=0.

ERRORLESS -VECTORS-Exercise
  1. What is the angle between (vecP+vecQ) and (vecPxxvecQ)

    Text Solution

    |

  2. The resultant of the two vectors having magnitude 2 and 3 is 1. What i...

    Text Solution

    |

  3. Let vec(A)=hat(i)A cos theta+hat(j)A sin theta, be any vector. Another...

    Text Solution

    |

  4. The angle between two vectors given by 6bari+6barj-3bark and 7bari+4ba...

    Text Solution

    |

  5. A vector vecA points vertically upward and vecB points towards north. ...

    Text Solution

    |

  6. the angle between the vectors (hati+hatj) and (hatj+hatk) is

    Text Solution

    |

  7. The position vectors of points A,B,C and D are A=3hati+4hatj+5hatk,B=4...

    Text Solution

    |

  8. If force (vecF)=4hati+4hatj and displacement (vecs)=3hati+6hatk then t...

    Text Solution

    |

  9. if|vecAxxvecB|=|vecA.vecB|, then angle between vecA and vecB will be

    Text Solution

    |

  10. In a clockwise system:

    Text Solution

    |

  11. The linear velocity of a rotating body is given by vec(v)= vec(omega)x...

    Text Solution

    |

  12. Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and ...

    Text Solution

    |

  13. The diagonals of a parallelogram are 2hati and 2hatj. What is the area...

    Text Solution

    |

  14. What is the unit vector perpendicular to the following vectors 2hati+2...

    Text Solution

    |

  15. The area of the parallelogram whose sides are represented by the vecto...

    Text Solution

    |

  16. The position of a particle is given by vecr=(hati+2hatj-hatk) and mome...

    Text Solution

    |

  17. Two vector A and B have equal magnitudes. Then the vector A+B is perpe...

    Text Solution

    |

  18. Find the torque of a force vecF= -3hati+hatj+5hatk acting at the poin...

    Text Solution

    |

  19. the value of (vecA+vecB)xx(vecA-vecB) is

    Text Solution

    |

  20. If vecA and vecB are perpendicular vectors and vector vecA=5hati+7hatj...

    Text Solution

    |