Home
Class 12
MATHS
What is the cosine of the angle which th...

What is the cosine of the angle which the vector `sqrt(2) hat i+ hat j+ hat k` makes with `y-a xi s ?`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (e ) Long Answer Type Questions (I)|25 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (e ) Long Answer Type Questions (II)|4 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (d) Long Answer Type Questions (II)|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

What is the cosine of the angle which the vector sqrt(2)hat i+hat j+hat k makes with y-axis?

What is the cosine of the angle which the vector sqrt(2)hat i+hat j+hat k makes with y-axis?

What is the angle which the vector (hat(i)+hat(j)+sqrt(2)hat(k)) makes with the z-axis ?

The angle which a vector hat(i)-hat(j)+sqrt(2)hat(k) makes with y-axis is

Find he cosine of the angle between the vectors 4hat i-3hat j+3hat k and 2hat i-hat j-hat k

Find the angles which the vector vec a=hat i-hat j+sqrt(2)hat k makes with the coordinate axes.

Find the angles which the vector vec a=hat i-hat j+sqrt(2)hat k makes with the coordinate axes.

What is the magnitude of the vector 2 hat i -3 hat j + sqrt3 hat k ?

Determine the sine of the angle between the vectors . 2 hat I + 3 hat j -4 hat k and ( hat i-2 hat k).

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (e ) Short Answer Type Questions
  1. Find the angle between the vectors : vec(a)=3vec(i)-2vec(j)+vec(k...

    Text Solution

    |

  2. Find the angle between the vectors : vec(a)=2hat(i)-hat(j)+2hat(k...

    Text Solution

    |

  3. What is the cosine of the angle which the vector sqrt(2) hat i+ hat j+...

    Text Solution

    |

  4. Find the angle between two vectors vec(a) and vec(b) such that : ...

    Text Solution

    |

  5. Find the angle between two vectors vec a and vec b with magnitudes 1 a...

    Text Solution

    |

  6. Find the magnitude of two vectors -> aand -> bhaving the same magni...

    Text Solution

    |

  7. If vec adot vec a=0 and vec adot vec b=0, what can you conclude abou...

    Text Solution

    |

  8. If either vector -> a= ->0 or -> b= ->0 , then -> adot -> b=0...

    Text Solution

    |

  9. Find the scalar projection of : vec(a)=7hat(i)+hat(j)-4hat(k) on v...

    Text Solution

    |

  10. Find the scalar projection of : vec(a)=3hat(i)-2hat(j)+hat(k) on ...

    Text Solution

    |

  11. Find the scalar projection of : vec(a)=2hat(i)+3hat(j)+2hat(k) on ...

    Text Solution

    |

  12. Find the scalar projection of : vec(a)=hat(i)-hat(j) on vec(b)=hat...

    Text Solution

    |

  13. Find the scalar projection of : vec(a)=hat(i)+3hat(j)+7hat(k) on ...

    Text Solution

    |

  14. Find the scalar projection of vec(b) on vec(a), when : vec(a)=2hat(...

    Text Solution

    |

  15. Find the scalar projection of vec(b) on vec(a), when : vec(a)=2hat(...

    Text Solution

    |

  16. Find the vector projection of the vector : 7hat(i)+hat(j)-hat(k) ...

    Text Solution

    |

  17. Find the vector projection of the vector : 2hat(i)-hat(j)+hat(k) ...

    Text Solution

    |

  18. Find lambda, when the projection of vec a=lambda hat i+ hat j+4 hat k...

    Text Solution

    |

  19. Show that the vector vec a=1/7(2 hat i+3 hat j+6 hat k),\ vec b=1/7(...

    Text Solution

    |

  20. If vec(a)=5hat(i)-hat(j)-3hat(k) and vec(b)=hat(i)+3hat(j)-5hat(k), t...

    Text Solution

    |