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

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 theta is the angle between the unti vectors vec a and vec b , then proves that cos((theta)/(2)) = 1/2 |vec a + vec b| .

If theta is the angle between two vectors vec a and vec b , then veca. b ge 0 only when

If theta is the between the vector vec(a)andvec(b)," then " sintheta is

If theta is the angle between any two vectors vec a and vec b , then |vec a. vec b| = | vec a xx vec b| , when theta is equal to

If the angel between unit vectors vec aa n d vec b60^0 , then find the value of | vec a- vec b|dot

If vector vec a+ vec b bisects the angle between vec a and vec b , then prove that | vec a| = | vec b| .

If vec aa n d vec b are two unit vectors and theta is the angle between them, then the unit vector along the angular bisector of vec a and vec b will be given by a. ( vec a- vec b)/(cos(theta//2)) b. ( vec a+ vec b)/(2cos(theta//2)) c. ( vec a- vec b)/(2cos(theta//2)) d. none of these

If vec a and vec b are orthogonal vectors, prove that (vec a + vec b)^(2) = (vec a - vec b)^(2) .

For any three vectors veca, vec b, vec c prove that (vec a + vec b)+ vec c = vec a + (vec b + vec c)