Home
Class 12
MATHS
If the vectors bar(a) = 2bar(i) -bar(j)...

If the vectors `bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2bar(j)-3bar(k), bar(c ) = 3bar(i) + pbar(j) +5bar(k)` are coplanar then find p.

Text Solution

Verified by Experts

The correct Answer is:
-4
Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)|138 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Hyperbolic Functions)|23 Videos

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Addition of vectors)|26 Videos

  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos

  • IPE-MARCH-2016[TS]

    SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 Videos

Similar Questions

Explore conceptually related problems

Prove that vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) -bar(3j)-5bar(k) and bar(c ) = 3bar(i) - 4bar(j) -4bar(k) are coplanar.

If bar(a) = 2bar(i) + 3bar(j) + 4bar(k), bar(b) = bar(i) + bar(j) -bar(k), bar(c ) = bar(i) - bar(j) + bar(k) , compute bar(a)x(bar(b)xbar(c )) and verify that it is perpendicular to bar(a) .

If bar(a) = 2bar(i) - bar(j) + bar(k), and bar(b) = bar(i) - 3bar(j) - 5bar(k) then find |bar(a) xx bar(b)| .

If the vectors bar(a)=bar(i)+bar(j)+bar(k), bar(b)=4bar(i)+3bar(j)+4bar(k), and bar(c)=bar(i)+alphabar(j)+betabar(k) are linearly dependent and abs(bar(c))=sqrt(3) then show that alpha=pm1, beta=1

If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -2bar(k) , then find (bar(a) + bar(b))xx(bar(a)-bar(b))

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

If bar(a) = bar(i) - 2bar(j) - 3bar(k), bar(b) = 3bar(i) -bar(j)+2bar(k) then S.T bar(a)+bar(b).bar(a)-bar(b) are perpendicular.

If bar(a)=bar(i)-2bar(j)+3bar(k), bar(b) = 2bar(i)+bar(j)+bar(k), bar(c ) = bar(i)+bar(j)+2bar(k) then find |(axxb)xxc)| and |axx(bxxc)| .

If bar(a)=2bar(i)-bar(j)+3bar(k), bar(b)=-bar(i)+4bar(j)-2bar(k), bar(c)=5bar(i)+bar(j)+7bar(k) and xbar(a)+ybar(b)=bar(c) then (x, y) =

If bar(a) = bar(i) -2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c )=bar(i)+3bar(j)-2bar(k) , compute bar(a).(bar(b)xxbar(c)) .

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. Find the volume of the tetrahedron having the edges ,bar(i) + bar(j)...

    Text Solution

    |

  2. Prove that vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) ...

    Text Solution

    |

  3. If the vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2...

    Text Solution

    |

  4. Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...

    Text Solution

    |

  5. if bar(a) + bar(b) + bar(c ) = bar(0), |bar(a)| = 3, |bar(b)| = 5, |b...

    Text Solution

    |

  6. If 4bar(i) + (2p)/3 bar(j)+ pbar(k) is parallel to the vector bar(i) ...

    Text Solution

    |

  7. If |bar(a)| = 13, |bar(b)| = 5, and bar(a).bar(b) = 60, then find |bar...

    Text Solution

    |

  8. vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k...

    Text Solution

    |

  9. If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0, then show that bar(a) + ...

    Text Solution

    |

  10. If bar(a) , bar(b) and bar(a)-sqrt2bar(b) are unit vectors, then what ...

    Text Solution

    |

  11. If bar(a) , bar(b) are non-zero vectors such that |bar(a)+bar(b)|^2 =...

    Text Solution

    |

  12. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

    Text Solution

    |

  13. bar(a), bar(b) , bar(c ) are pair wise non zero and non collinear vect...

    Text Solution

    |

  14. Find unit vector parallel to the XOY-plane and perpendicular to the ve...

    Text Solution

    |

  15. Find the equation of the plane through the point (3,-2,2) and perpendi...

    Text Solution

    |

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

    Text Solution

    |

  17. Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...

    Text Solution

    |

  18. If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=2bar(i)+bar(j)+bar(k), bar(c )...

    Text Solution

    |

  19. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

    Text Solution

    |

  20. Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[...

    Text Solution

    |