Home
Class 12
MATHS
If veca is unit vector in xy-plane makin...

If `veca` is unit vector in xy-plane making an angle `(pi)/(4)` with the x-axis, then `veca` is equal to -

A

`hati+hatj`

B

`hati-hatj`

C

`(1)/(sqrt(2)) (hati+hatj)`

D

`(1)/(sqrt(2))(hati-hatj)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.

A unit vector a makes an angle pi/ 4 with z-axis. If a + i + j is a unit vector, then a can be equal to

A straight line in the xy-plane makes an angle pi/4 with y-axis. Find the direction cosines of the straight line.

If a unit vector veca makes angles (pi)/(3) with hati,(pi)/(4) with hatj and an acute angle theta with hatk then find theta and hence , the components of veca .

If veca,vecb and vecc are three mutually perpendicular unit vectors and vecd is a unit vector which makes equal angle with veca,vecb and vecc , then find the value of |veca+vecb+vecc+vecd|^(2) .

If veca is a unit vector and (vecx-veca)*(vecx+veca)=8 , then find |vecx| .

If veca is a non-zero vector of modulus |veca| and m is a non-zero scalar, then m veca is a unit vector if -

Let vecaandvecb be two unit vectors and theta is the angle between them Then veca+vecb is a unit vector if

If veca and vecb are othogonal unit vectors, then for a vector vecr non - coplanar with veca and vecb vector vecr xx veca is equal to

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. A function f from the set of natural numbers N to the set of integers...

    Text Solution

    |

  2. If veca is unit vector in xy-plane making an angle (pi)/(4) with the x...

    Text Solution

    |

  3. If f : R to R and g:R to R are defined by f(x)=2x+3 and g(x)=x^(2)...

    Text Solution

    |

  4. The relation R={(1, 1), (2, 2), (3, 3)} on the set A={1,2,3} is -

    Text Solution

    |

  5. If e^(f(x))=(10+x)/(10-x), x in (-10,10) and f(x)=kf((200x)/(100+x^(2)...

    Text Solution

    |

  6. The position vectors of the three vertices of a triangle are (-hati-3h...

    Text Solution

    |

  7. The inverse of the function f(x)=(10^(x)-10^(-x))/(10^(x)+10^(-x)) is ...

    Text Solution

    |

  8. Let R be the set of real numbers and f:R to R be defined by f(x)=x^(2)...

    Text Solution

    |

  9. Domain of definition of the function f(x)=(3)/(4-x^(2))+log(10)(x^(3)-...

    Text Solution

    |

  10. If f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),x(x-1)(x+1)...

    Text Solution

    |

  11. the value of the determinant |(0, b^(3)-a^(3),c^(3)-a^(3)),(a^(3)-b...

    Text Solution

    |

  12. If a^(2)+b^(2)+c^(2)=-2 and f(x)=|(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),...

    Text Solution

    |

  13. If a, b, c are all different and |(a,a^(3),a^(4)-1),(b,b^(3),b^(4)-1)...

    Text Solution

    |

  14. If p ne 0, then the solutions of the equation |(1,1,x),(p+1,p+1,p+x),...

    Text Solution

    |

  15. If A and B are two square matrices and if A^(-1) and B^(-1) exist, th...

    Text Solution

    |

  16. If A=[(3,-5),(-4,2)], then the value of A^(2)-5A is equal to -

    Text Solution

    |

  17. If A=|(5,6,-3),(-4,3,2),(-4,-7,3)| then the cofactors of the elements ...

    Text Solution

    |

  18. If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)], then -

    Text Solution

    |

  19. If A=[(1,2),(2,3),(3,4)] and B=[(1,2),(2,1)], then -

    Text Solution

    |

  20. If A=[(2,-1),(0,1)] and B=[(1,0),(-1,-1)] then (A+B)^(2) is not equal ...

    Text Solution

    |