Home
Class 11
MATHS
If veca is non-zero vector and b,vec(c) ...

If `veca` is non-zero vector and `b,vec(c)` are two vector such that `vecaxxb=axxvec(c)` and `vec(a).b=a.vec(c)`, then prove that `vec(b)=vec(c)`.

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

vec(a) and vec(b) are non-zero vectors such that vec(a) xx vec(b)= vec(b) xx vec(a) " then" vec(a), vec(b) are

If vec(a), vec(b), vec(c ) are unit vectors such that vec(a).vec(b)= vec(a).vec(c )=0 and (vec(b), vec(c ))= (pi)/(6) , then vec(a) =

If vec(a).vec(b) = vec(a).vec(c ) and vec(a) xx vec(b)= vec(a) xx vec(c ) and vec(a) ne vec(0) then show that vec(b)= vec(c )

If vec(a) is a non zero vector and vec(a).vec(b)= vec(a).vec(c ), vec(a) xx vec(b)= vec(a) xx vec(c ) , then

If vec(a)= 3vec(i) -5vec(j), vec(b)= 6vec(i) + 3vec(j) are two vectors and vec(c ) is a vector such that vec(c )= vec(a) xx vec(b) , then |vec(a)|:|vec(b)|: |vec(c )| =

The vectors vec(a) and vec(b) are not perpendicular and vec(c ) and vec(d) are two vectors satisfying vec(b) xx vec(c )= vec(b) xx vec(d) and vec(a).vec(d)= 0 . Then the vector vec(d) is equal to

If veca+vecb+vec(c)=vec0 , then prove that vecaxxvecb=vecbxxvec(c)=vec(c)xxveca .

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-SOLVED PROBLEMS
  1. A non-zero vector bar(a), is parallel to the line of intersection of t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. For any four vectors a,b,c and d, (axxb)xx(cxxd)=["a c d"]b-["b c d"]a...

    Text Solution

    |

  18. Find the shortest distance between the skew lines . bar(r)=(6bar(i)...

    Text Solution

    |

  19. Prove that angle in a semi circle is a rightangle by using Vector meth...

    Text Solution

    |

  20. Show that the vector area of the quadrilateral ABCD having diagonals v...

    Text Solution

    |