Home
Class 11
PHYSICS
vec(a)=3hat(i)+5hat(j),vec(b)=2hat(i)+7h...

`vec(a)=3hat(i)+5hat(j),vec(b)=2hat(i)+7hat(j)` and `vec(c)=hat(i)+9hat(j)` are three vectors which of the following combinations is in the same direction as `vec(a)+vec(b)-vec(c)` :

A

`2vec(a)+vec(b)`

B

`2vec(a)-vec(b)`

C

`vec(a)-2vec(b)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(a)+vec(b)-vec(c)=4hat(i)+3hat(j)`
` 2vec(a)-vec(b)=4hat(i)+3hat(j)`
Promotional Banner

Topper's Solved these Questions

  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise EXERCISE - 2 [MULTIPLE CORRECT CHOICE TYPE]|6 Videos

  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise EXERCISE - 2 [MATRIX TYPE]|1 Videos

  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise EXERCISE- 3 (SECTION - B)|1 Videos

  • KINETIC THEORY OF GASES

    BANSAL|Exercise Section-B|13 Videos

Similar Questions

Explore conceptually related problems

If vec(a)=4hat(i)-hat(j),vec(b)=-3hat(i)+2hat(j)and vec(c)=-hat(k). Then the unit vector hat( r) along the direction of sum of these vectors will be

Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(k) and vec(c) = xhat(i) + (x-2)hat(j) - hat(k) . If the vector vec(c) lies in the plane of vec(a) and vec(b) then x equals

Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat(k) and vec(c) = xhat(i) + (x-2)hat(j) - hat(k) . If the vector vec(c) lies in the plane of vec(a) & vec(b) , then x equals

If vec(a)=2hat(i)+2 hat(j)+3hat(k), vec(b)=-hat(i)+2hat(j)+hat(k) and vec(c)=3hat(i)+hat(j) are three vectors such that vec(a)+t vec(b) is perpendicular to vec(c) , then what is t equal to ?

If vec(a) = 2hat(i) + 2hat(j) + 3hat(k), vec(b)= - hat(i) + 2hat(j) + 3 and vec(c ) = 3hat(i) + hat(j) are three vectors such that vec(a) + t vec(b) is perpendicular to c. then what is t equal to?

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

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)) .

Show that the vectors vec(a)=(hat(i)+3hat(j)+hat(k)), vec(b)=(2hat(i)-hat(j)-hat(k)) and vec(c)=(7hat(j)+3hat(k)) are parallel to the same plane. {HINT : Show that [vec(a)vec(b)vec(c)]=0 }

If vec(a)=2hat(i)+3hat(j)+hat(k), vec(b)=hat(i)-2hat(j)+hat(k) and vec(c )=-3hat(i)+hat(j)+2hat(k) , find [vec(a)vec(b)vec(c )] .

BANSAL-UNIT DIMENSION, VECTOR & BASIC MATHS-EXERCISE - 1 [SINGLE CORRECT CHOICE TYPE]
  1. If vec(a) be a unit vector, then :-

    Text Solution

    |

  2. If two numerical equal forces P and P acting at a point produce a resu...

    Text Solution

    |

  3. Given that vec(A)+vec(B)=vec(R) and vec(A)+2vec(B) is perpendicular...

    Text Solution

    |

  4. The value of lambda for two perpendicular vectors vec(A)=2vec(i)+lamb...

    Text Solution

    |

  5. The resultant of two vectors of magnitude 3 units 4 units is 1 unit. ...

    Text Solution

    |

  6. If vec(i) and vec(j) are unit vectors along x-axis and y-axis respecti...

    Text Solution

    |

  7. The angle subtended by vector vec(i)+vec(j) with x-axis is :-

    Text Solution

    |

  8. Moment about point whose coordinate is (1,2,3) of a force represented ...

    Text Solution

    |

  9. If vec(A) and vec(B) denote the sides of a parallelogram and its area ...

    Text Solution

    |

  10. A vector perpendicular to (hat(i)+hat(j)+hat(k)) and (hat(i)-hat(j)-...

    Text Solution

    |

  11. The unit vector along vec(i)+vec(j) is :-

    Text Solution

    |

  12. Two constant forces vec(F)(1) and vec(F)(2) acts on a body of mass 8 k...

    Text Solution

    |

  13. Figure shows three vectors a, b and c. If RQ=2PR, which of the followi...

    Text Solution

    |

  14. Component of -10hat(j) in the direction of 3hat(i)-4hat(j) is :-

    Text Solution

    |

  15. If 3hat(i)-2hat(j)+8hat(k) and 2hat(i)+xhat(j)+hat(k) are at right ...

    Text Solution

    |

  16. If vec(a)=4hat(i)+hat(j)-hat(k) , vec(b)=3hat(i)-2hat(j)+2hat(k) , the...

    Text Solution

    |

  17. Write a force of 10 N in x-y plane in terms of unit vectors hat(i) a...

    Text Solution

    |

  18. Two vectors vec(A) and vec(B) are such that |vec(A)+vec(B)|=|vec(A)-ve...

    Text Solution

    |

  19. In a clockwise system :-

    Text Solution

    |

  20. vec(a)=3hat(i)+5hat(j),vec(b)=2hat(i)+7hat(j) and vec(c)=hat(i)+9hat(j...

    Text Solution

    |