IIT JEE , AIEEE Forum - Mathematics , Vectors

karthik_abiram

Q] If "a" vector and "b" vector are unit vectors at right angle then a unit vector which is equally inclined with

each "a"vector, "b" vector and "a cross b" vector is

1](1/2)^1/2( a+b)

2](1/2)^1/2( a-b)

3](1/3)^1/2( a+b+ "a cross b")

4](1/3)^1/2( a+b-"a cross b")

rajat

it is : A

aysh

The answer is
3](1/3)^1/2 ( a+b+ "a cross b")

IF CORRECT,
PLEASE RATE...

karthik_abiram

aysh ur right...........could u plz explain the steps plz?

then i will definitely rate u...........plz explain the steps........

aysh

Hi Kartik,

SHORTCUT AGAIN>>
Take a=i ,b=j, a x b=k

THAT'S IT
PLEASE RATE...

magiclko

the vector equally inclined with both, will be the angle-bisector of the angle b/w the two vectors,,,,

so from the figure the required vector will be k ( a + b)

whr bold a and b represents the unit vectors a and b, nd k is the length of the required vector

as a and b will form a rectangle thrfore its diagonal = sqrrt (a^2 + b^2) = sqrt 2