Home
Class 11
MATHS
Let veca = 2 hati+hatj-2hatk, vecb=hati...

Let `veca = 2 hati+hatj-2hatk, vecb=hati+hatj`. If `vecc` is a vector such that `veca*vecc=vecc-veca=2sqrt(2)` and the angle between `|(veca xx vecb) xx vecc|` equals:

Text Solution

Verified by Experts

The correct Answer is:
`3/2`
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 5(c) III|11 Videos
  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(c) III. |3 Videos
  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) III.|11 Videos

Similar Questions

Explore conceptually related problems

Let veca=hati+2hatjandvecb=2hati+hatj . Is |veca|=|vecb| ? Are the vectors vecaandvecb equal?

If veca , vecb and vec(c ) are there vectors such that veca + vecb = vec(C ) and further a^2 +b^2 =c ^2 find the angle between veca and vecb ?

If veca=hati+4hatj, vecb=2hati-3hatj, vecc=5hati+9hatj" then "vecc is equal to

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

Let veca and vecb be two unit vectors such that |veca+vecb|=sqrt(3) . If vecc=veca+2vecb+3(veca xx vecb) , then 2|vecc| is equal to :

Two non zero vectors vecA "and" vecB are such that |vecA+vecB|=|vecA - vecB| . Find angle between vecA "and " vecB ?

Let veca=hatj-hatk and vecc=hati-hatj-hatk . Then vector vecb satisfying veca xx vecb +vecc=vec0 and veca.vecb=3 is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-SOLVED PROBLEMS
  1. Let veca=2veci-j+veck and vecb=3i+4j-veck. If theta is the angle betwe...

    Text Solution

    |

  2. Let vec(a), vec(b), vec(c ) be such that vec(c ) ne vec(0), vec(a) xx ...

    Text Solution

    |

  3. Let veca = 2 hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector suc...

    Text Solution

    |

  4. Let bar(a),bar(b) be two non-collinear unit vectors, if bar(alpha) = b...

    Text Solution

    |

  5. A non-zero vector bar(a), is parallel to the line of intersection of t...

    Text Solution

    |

  6. If vec(a)= 4vec(i) + 5vec(j)- vec(k), vec(b)= vec(i)- 4vec(j) + 5vec(k...

    Text Solution

    |

  7. For any vector bar(a) show that |bar(a) xx bar(i)|^(2) + |bar(a) xx ba...

    Text Solution

    |

  8. If veca is non-zero vector and b,vec(c) are two vector such that vecax...

    Text Solution

    |

  9. Prove that the vectors vec(a)=2veci-vecj+veck,vecb=veci-3vecj-5veck an...

    Text Solution

    |

  10. Find the volume of the parallelopiped having co-tenninus edges are rep...

    Text Solution

    |

  11. If the vectors veca=2veci-vecj+veck,vecb=veci+2vecj-3veck and vecc=3ve...

    Text Solution

    |

  12. Show that vecixx(vecaxxveci)+vecjxx(vecaxxvecj)+kxx(vecaxxveck)=2veca ...

    Text Solution

    |

  13. Prove that for any three vectors veca,vecb,vec(c),[b+c" "c+a" "a+b]=2[...

    Text Solution

    |

  14. For any three vectors veca,vecb,vec(c) prove that [vecbxxvec(c)" "vec(...

    Text Solution

    |

  15. If a,b,c are three unit vectors such that a xx (b xx c) = (1)/(2) b th...

    Text Solution

    |

  16. Find the equation of the plane passing through the point A=(2,3,-1),B=...

    Text Solution

    |

  17. Find the equation of the plane passing through the point A=(3,-2,-1) a...

    Text Solution

    |

  18. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

  19. Find the distance of a point (2,5,-3) from the planer r.(6i-3j+2k)=4

    Text Solution

    |

  20. Find the angle between line (x+1)/2 = y/3 = (z-3)/6 and the plane 10x ...

    Text Solution

    |