Home
Class 12
MATHS
a and b form the consecutive sides of a ...

a and b form the consecutive sides of a regular hexagon ABCDEF.

Text Solution

Verified by Experts

The correct Answer is:
A, B

`AB=a,BC=b`
`thereforeAC=AB+BC=a+b` . . (i)
`AD=2BC=2b` . . (ii)
(because AD is parallel to BC and twice is length)
`CD=AD-AC=2b-(a+b)=b-a`
`FA=-CD=a-b` . . (iii)
`DE=-AB=-a` . . . (iv)
`EF=-BC=-b` . . (v)
`AE=AD+DE=2b-a` . . .(vi)
`CE=CD+DE=b-a-a=b-2a`. . . (vii).
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|8 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

In a regular hexagon ABCDEF,vec AE

The coordinates of two consecutive vertices A and B of a regular hexagon ABCDEF are (1,0) and (2,0) respectively.The equation of the diagonal CE is:

If vec a,vec b are the vectors forming consecutive sides of a regular of a regular hexagon ABCDEF, then the vecrtor representing side CD is vec a+vec b b.vec a-vec b c.vec b-vec a d.-(vec a+vec b)

overline(a), overline(b) are vectors, overline(AB), overline(BC) determined by two adjacent sides of a regular hexagon ABCDEF.The vector represented by overline(EF) is

If veca and vecb are the vectors determined by two adjacent sides of a regular hexagon ABCDEF, find the vector determined by the ther sides taken in order. Also find vec(AD) and vec(CE) in terms of veca and vecb .

If bar(a)=bar(A)B and bar(c)=bar(B)C are two adjacent sides of a regular hexagon ABCDEF,Find the other sides in vector form.

If five consecutive sides of a regular hexagon represent five unit vectors acting in the same sense,find their resultant vector.(taking first side on x-axis)

Consider the regular hexagon ABCDEF with centre at O (origin). Q. Five forces AB,AC,AD,AE,AF act at the vertex A of a regular hexagon ABCDEF. Then, their resultant is

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Matching Type Questions)
  1. a and b form the consecutive sides of a regular hexagon ABCDEF.

    Text Solution

    |