Home
Class 12
MATHS
If vec(a) and vec(b) are unit vectors in...

If `vec(a)` and `vec(b)` are unit vectors inclined at an angle `theta` then prove that (i)`sin(theta/2)=1/2|vec(a-vec(b)|` (ii) `tan(theta/2)=(|vec(a)-vec(b)|)/(|vec(a)-vec(b)|)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If vec a and vec b are unit vectors and theta is the angle between them,then prove that cos[(theta)/(2)]=(1)/(2)|vec a+vec b|

If vec a and vec b are unit vectors and theta is the angle between them, show that (sin theta/2=1/2|vec a - vec b | .

If unit vectors hat(a) and hat(b) are inclined at angle theta , then prove that |vec(a) - vec(b)| = 2 sin.(theta)/(2) .

If vec(a) and vec(b) are unit vectors and theta is the angle between them, then what is sin^(2)((theta)/(2)) equal to?

If vec a and vec b are unit vectos inclined at an angle theta then the value of |vec a-vec b| is 2(sin theta)/(2) b.2sin theta c.2(cos theta)/(2) d.2 cos

If theta is the angle between the unit vectors vec a and vec b , then prove that sin (theta)/(2) = 1/2|vec a - vec b|

If vec a and vec b are unit vectors,and theta is the angle between them,then |vec a-vec b|=

If theta is th angle between the unit vectors a and b , then prove that cos(theta/2)=1/2| vec a+ vec b| ,and sin(theta/2)=1/2| vec a- vec b|

If theta is th angle between the unit vectors a and b , then prove that cos(theta/2)=1/2| vec a+ vec b| ,and sin(theta/2)=1/2| vec a- vec b|