The vector a ^ i + b ^ j + c ^ k is a bisector of the angle between the vectors ^ i + ^ j and ^ j + ^ k if Options: A . &nbspa=b B . &nbspa=c C . &nbspc=a+b D . &nbspa =b=c

Answer: Option B : B a ^ i + b ^ j + c ^ k =Angle bisector of ^ i + ^ j and ^ j + ^ k = m [ ^ i + ^ j + ^ j + ^ k √ 2 ] ⇒ a = m √ 2 , b = √ 2 . m , c = m √ 2

The vector a^i+b^j+c^k is a bisector of the angle between the vectors ^i+^j and

Question

The vector

a^i + b^j + c^k

is a bisector of the angle between the vectors

^i +^j

and

^j +^k

Options:

A . a=b

B . a=c

C . c=a+b

D . a =b=c

Answer: Option B
:
B

a^i + b^j + c^k

=Angle bisector of

^i +^j

and

^j +^k = m

[\frac{^i +^j +^j +^k}{\sqrt{2}}] \Rightarrow a = \frac{m}{\sqrt{2}}, b = \sqrt{2} . m, c = \frac{m}{\sqrt{2}}

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