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).
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTOR ALGEBRA

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

  • VECTOR ALGEBRA

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

  • VECTOR ALGEBRA

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

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|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:

AB, BC and CD are the three consecutive sides of a regular polygon. If angleBAC= 15^(@) , find, number of sides of the polygon

If vec a ,\ vec b are the vectors forming consecutive sides of a regular of a regular hexagon A B C D E F ,\ then the vecrtor representing side C D is a. vec a+ vec b b. vec a- vec b c. vec b- vec a d. -( vec a+ vec b)

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 .

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 (a)3AO (b)2AO (c)4AO (d)6AO

If a and b are the vectors AB and BC determined by the adjacent sides of a regular hexagon. What are the vectors determined by the other sides taken is order?

Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle has exactly two sides common with the side of the hexagon is

A particle moves with constant speed v along a regular hexagon ABCDEF in the same order. Then the magnitude of the avergae velocity for its motion form A to

Let O be the centre of the regular hexagon ABCDEF then find vec(OA)+vec(OB)+vec(OD)+vec(OC)+vec(OE)+vec(OF)

Home
Profile