If `veca` is unit vector and `(vecx-a).(vecx+a)=12` then find `|x|`.

if veca, vecb and vecc are there mutually perpendicular unit vectors and veca ia a unit vector then find the value of |2veca+ vecb + vecc |^2

If veca and vecb are two non collinear unit vectors and |veca+vecb|=sqrt(3) then find the value of (veca-vecb).(2veca+vecb)

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt3 . Then find the value of (2veca+5vecb).(3veca+vecb+vecaxxvecb)

The unit vector of a vector vecA =2hati + 4hatj is

If veca , vecb , vecc are unit vectors such that veca+ vecb+ vecc= vec0 find the value of (veca* vecb+ vecb* vecc+ vecc*veca) .

If vec x and vecy are unit vectors and |vecz| = 2/sqrt7 such that vecz + vecz xx vecx = vecy then find the angle theta between vecx and vecz

If the angle between unit vectors veca and vecb is 60^(@) . Then find the value of |veca -vecb| .

If the angle between unit vectors veca and vecb is 60^(@) . Then find the value of |veca -vecb| .

If vecA+vecB is a unit vector along x-axis and vecA = hati-hatj+hatk , then what is vecB ?

If veca,vecb and vecc are three vectors of which every pair is non colinear. If the vector veca+vecb and vecb+vecc are collinear with the vector vecc and veca respectively then which one of the following is correct? (A) veca+vecb+vecc is a nul vector (B) veca+vecb+vecc is a unit vector (C) veca+vecb+vecc is a vector of magnitude 2 units (D) veca+vecb+vecc is a vector of magnitude 3 units