Home
Class 11
PHYSICS
vec(P)+vec(Q) is a unit vector along x-a...

`vec(P)+vec(Q)` is a unit vector along x-axis. If `vec(P)= hat(i)-hat(j)+hat(k)`, then what is `vec(Q)`?

A

`hat(i)+hat(j)-hat(k)`

B

`hat(j)-hat(k)`

C

`hat(i)+hat(j)+hat(k)`

D

`hat(j)+hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given `vec(P)+vecQ= hat(i)`
`implies hat(i)-hat(j)+hat(k)+vec(Q)= hat(i) implies vec(Q)= hat(j)-hat(k)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The unit vector along vec(A)= 2 hat i + 3 hat j is :

Let a vector vec(a) be coplanar with vectors vec(b) = 2hat(i) + hat(j) + hat(k) and vec(c) = hat(i) - hat(j) + hat(k) . If vec(a) is perpendicular to vec(d) = 3hat(i) + 2hat(j) + 6hat(k) , and |vec(a)| = sqrt(10) . Then a possible value of [[vec(a),vec(b),vec(c)]] + [[vec(a), vec(b), vec(d)]] + [[vec(a),vec(c),vec(d)]] is equal to :

Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) + hat(k), vec(c) = 3hat(i) + 2hat(j) + hat(k) and vec(d) = 3hat(i) - hat(j) - 2hat(k) , then . If vec(a) xx (vec(b) xx vec(c)) = pvec(a) + qvec(b) + rvec(c) , then find value of p,q are r.

Position vector vec(A) is 2hat(i) Position vector vec(B0 is 3hat(j) hat(i),hat(j),hat(k) are along the shown x,y, and z is Geometrical representation of vec(A) is

If vec a is a unit vector such that vec a xxhat i=hat j then find vec a

verify that vec(a) xx (vec(b)+ vec(c))=(vec(a) xx vec(b))+(vec(a) xx vec(c)) , "when" (i) vec(a)= hat(i)- hat(j)-3 hat(k), vec(b)= 4 hat(i)-3 hat(j) + hat(k) and vec(c)= 2 hat(i) - hat(j) + 2 hat(k) (ii) vec(a)= 4 hat(i)-hat(j)+hat(k), vec(b)= hat(i)+hat(j)+ hat(k) and vec(c)= hat(i)- hat(j)+hat(k).

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

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

If vec(a)=5hat(i)-hat(j)-3hat(k) and vec(b)=hat(i)+3hat(j)-5hat(k) , then show that the vectors (vec(a)+vec(b)) and (vec(a)-vec(b)) are perpendicular.

Find the angle between the vectors vec(a) and vec(b) , when (i) vec(a)=hat(i)-2hat(j)+3 hat(k) and vec(b)=3hat(i)-2hat(j)+hat(k) (ii) vec(a)=3 hat(i)+hat(j)+2hat(k) and vec(b)=2hat(i)-2hat(j)+4 hat(k) (iii) vec(a)=hat(i)-hat(j) and vec(b)=hat(j)+hat(k) .

A2Z-VECTORS-Expressing Vectors In Unit Vector Notation
  1. The magnitude of a given vector with end points(4, -4,0) and (-2, -2,0...

    Text Solution

    |

  2. The expression (1/(sqrt(2))hat(i)+1/(sqrt(2))hat(j)) is a

    Text Solution

    |

  3. vec(P)+vec(Q) is a unit vector along x-axis. If vec(P)= hat(i)-hat(j)+...

    Text Solution

    |

  4. The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

    Text Solution

    |

  5. The unit vector along hat(i)+hat(j) is

    Text Solution

    |

  6. The projection of a vector vec(r )=3hat(i)+hat(j)+2hat(k) on the x-y p...

    Text Solution

    |

  7. The angle made by the vecotr vec(A)= hat(i)+hat(j) with x-axis is

    Text Solution

    |

  8. If a unit vector is represented by 0.5hati + 0.8hatj + chatk the value...

    Text Solution

    |

  9. With respect to a rectangular Cartesian coordinate system, three vecto...

    Text Solution

    |

  10. If vec(A)=4hat(i)-3hat(j) and vec(B)=6hat(i)+8hat(j),then find the mag...

    Text Solution

    |

  11. A truck travelling due to north at 20m s^(-1) turns west and travels a...

    Text Solution

    |

  12. Determine a vector which when added to the resultant of vec(A)= 2hat(i...

    Text Solution

    |

  13. If a particle moves from point P(2,3,5) to point Q(3,4,5). Its displac...

    Text Solution

    |

  14. Let vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(k) and vec(C )=6hat(i)-2hat(k)...

    Text Solution

    |

  15. Two forces F(1)=1N and F(2)=2N act along the lines x=0 and y=0, respec...

    Text Solution

    |

  16. Following forces start acting on a particle at rest at the origin of t...

    Text Solution

    |

  17. A body is at rest under the action of three forces, two of which are v...

    Text Solution

    |

  18. Find the vector that must be added to the vector hat(i)-3hat(j)+2hat(k...

    Text Solution

    |

  19. If A=3hat(i)+4hat(j) and B=7hat(i)+24hat(j),find the vector having the...

    Text Solution

    |

  20. The unit vector parallel to the resultant of the vectors vec(A)= 4hat(...

    Text Solution

    |