Home
Class 12
MATHS
For given vector, vec a = 2 hat i j +2...

For given vector, ` vec a` = 2` hat i` `j` +2` hat k` and ` vec b` = -` hat i` +` hat j` - ` hat k` , find the unit vector in the direction of the vector ` vec a` +` vec b` .

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

find the angle between the vectors vec a= 3 hat i +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

If vec a.hat i= vec a.( hat i+ hat j)= vec a.( hat i+ hat j+ hat k) , then find the unit vector vec a

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k

If vec(a)=hat(i)+2hat(j)-hat(k) " and " vec(b)=3hat(i)+hat(j)-5hat(k) , find a unit vector in a direction parallel to vector (vec(a)-vec(b)) .

If vec(a) = 2 hat (i) - hat (j) + 3 hat (k) and vec(b) = 3 hat (i) + hat (j) - 2 hat (k) , find the angle between the vectors (vec(a) + vec(b)) and (vec(a)-vec(b))

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If 2vec(AC)=3vec(CB), then prove that 2vec(OA)+3vec(OB)=5vec(OC) where...

    Text Solution

    |

  2. Find the unit vector in the direction of vector vec (PQ), where P and...

    Text Solution

    |

  3. For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + ...

    Text Solution

    |

  4. If the projections of vector vec a on x -, y - and z -axes are 2, ...

    Text Solution

    |

  5. Find a vector in the direction of the vector 5 hat i - hat j + 2 h...

    Text Solution

    |

  6. If vec a , vec b , vec c , vec d are the position vector of point A ,...

    Text Solution

    |

  7. Show that the points A(6,-7,0),B(16 ,-19 ,-4),C(0,3,-6) and D(2,-5,10)...

    Text Solution

    |

  8. Statement 1: The direction cosines of one of the angular bisectors ...

    Text Solution

    |

  9. Statement 1: In DeltaA B C , vec (A B)+ vec (BC)+ vec (C A)=0 State...

    Text Solution

    |

  10. If vec aa n d vec b are two vectors of magnitude 1 inclined at 120^0 ...

    Text Solution

    |

  11. vec A isa vector with direction cosines cosalpha,cosbetaa n dcosgammad...

    Text Solution

    |

  12. A vector oversetrarra has components 2p and 1 with respect to a rectan...

    Text Solution

    |

  13. Statement 1 : If three point P, Q and R have position vectors veca, ve...

    Text Solution

    |

  14. In a four-dimensional space where unit vectors along the axes are h...

    Text Solution

    |

  15. Let A B C be a triangle, the position vectors of whose vertices are -1...

    Text Solution

    |

  16. If non-zero vectors vec a and vec b are equally inclined to coplanar ...

    Text Solution

    |

  17. If A(-4,0,3) and B(14 ,2,-5), then which one of the following points l...

    Text Solution

    |

  18. Prove that the sum of three vectors determined by the medians of a ...

    Text Solution

    |

  19. Prove that the resultant of two forces acting at point O and repres...

    Text Solution

    |

  20. Two forces vec A B and vec A D are acting at vertex A of a quadrilat...

    Text Solution

    |