Home
Class 11
MATHS
A non-zero vector bar(a), is parallel to...

A non-zero vector `bar(a)`, is parallel to the line of intersection of the plane determined by the vectors `bar(i), bar(i) + bar(j)` and the plane determined by the vectors `bar(i)- bar(j), bar(i) + bar(k)` Find the angle between `bar(a)` and the vector `bar(i)- 2bar(j) + 2bar(k)`

Text Solution

Verified by Experts

The correct Answer is:
`therefore theta=45^(@)` or `135^(@)`.
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

The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle between the vectors bar(i)+bar(j) and bar(j)+bar(k) if

If theta is the angle between the vectors bar(i) + bar(j) , bar(j) + bar(k) then find sin theta .

Find the vector equation of the plane passing through the point bar(i)+bar(j)+bar(k) and parallel to the vectors 2bar(i)+3bar(j)+4bar(k), bar(i)-2bar(j)+3bar(k) .

The vector equation of the plane passing through the point 2bar(i)+2bar(j)-3bar(k) and parallel to the vectors 3bar(i)+3bar(j)-5bar(k), bar(i)+2bar(j)+bar(k) is

Find the vector equation of the line passing through the point 2bar(i)+3bar(j)+bar(k) and parallel to the vector 4bar(i)-2bar(j)+3bar(k)

If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vector bar(c) and the vector 3bar(i)+4bar(j) , then the unit vector in the direction of bar(c) is

Find unit vector parallel to the XOY-plane and perpendicular to the vector 4bar(i) - 3bar(j) + bar(k) .

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-SOLVED PROBLEMS
  1. Let veca = 2 hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector suc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |