Home
Class 12
MATHS
The vectors a,b and a+b are...

The vectors a,b and a+b are

A

collinear

B

coplanar

C

non-coplanar

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

These are coplanar because `1(a)+1(b)=a+b`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise VECTOR ALGEBRA EXERCISES 1: Single Option Correct Type Questions|1 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Let a,b,c are three vectors of which every pair is non-collinear, if the vectors a+b and b+c are collinear with c annd a respectively, then find a+b+c.

Find a set of vector reciprocal to the vectors a,b and axxb .

Find the angle between the vectors a+b and a-b, if a=2hat(i)-hat(j)+3hat(k) and b=3hat(i)+hat(j)-2hat(k) .

If the angle between the vectors a and b be theta and a*b=costheta then the true statement is

For any three vectors a,b and c prove that ["a b c"]^(2)=|(a*a,a*b,a*c),(b*a,b*b,b*c),(c*a,c*b,c*c)|

If atimesb=c, btimesc=a, ctimesa=b . If vectors a, b and c are forming a right handed system, then the volume of tetrahedron formed by vectors 3a-2b+2c, -a-2c and 2a-3b+4c is

If a and b are two non-zero and non-collinear vectors then a+b and a-b are

Let vec a and vec b be the position vectors of the points (3,-5) and (m,4) respectively. Find m if the vectors vec a and vec b are collinear.

The three vectors a, b and c with magnitude 3, 4 and 5 respectively and a+b+c=0, then the value of a.b+b.c+c.a is

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. If a and b are two non collinear vectors; then every vector r coplanar...

    Text Solution

    |

  2. Four non-zero vectors will always be

    Text Solution

    |

  3. The vectors a,b and a+b are

    Text Solution

    |

  4. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

    Text Solution

    |

  5. The number of integral values of p for which (p+1) hati-3hatj+phatk, p...

    Text Solution

    |

  6. If the vectors AB=3hati+4hatk and AC=5hati-2hatj+4hatk are the sides o...

    Text Solution

    |

  7. In the figure, a vectors x satisfies the equation x-w=v. then, x is eq...

    Text Solution

    |

  8. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

    Text Solution

    |

  9. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

    Text Solution

    |

  10. Let a,b and c be three unit vectors such that 3a+4b+5c=0. Then which o...

    Text Solution

    |

  11. if A,B,C,D and E are five coplanar points, then vec(DA) + vec( DB) + v...

    Text Solution

    |

  12. If the vectors veca and vecb are linearly independent satisfying (sqrt...

    Text Solution

    |

  13. Find the slope of the normal having point (3,2) and (4,1)

    Text Solution

    |

  14. A line passes through the points whose position vectors are hati+hatj-...

    Text Solution

    |

  15. Find the slop of line . The Equation of line is 2x-3y=2

    Text Solution

    |

  16. If P and Q are the middle points of the sides BC and CD of the paralle...

    Text Solution

    |

  17. If the figure formed by the four points hati+hatj-hatk,2hati+3hatj,3ha...

    Text Solution

    |

  18. A and B are two points. The position vector of A is 6b-2a. A point P ...

    Text Solution

    |

  19. If three points A,B and C are collinear, whose position vectors are ha...

    Text Solution

    |

  20. If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC res...

    Text Solution

    |