If unit vector `vecc` makes an angle `pi/3` with `hati + hatj`, then minimum and maximum values of `(hati xx hatj).vecc` respectively are:

Find a unit vector in XY plane which makes an angle 45^(@) with the vector hati + hatj at angle of 60^(@) with the vector 3 hati - 4 hatj.

If the vectors vecb = tanalpha hati = hatj+2, sqrt(sinalpha/2hatk) , and vecc=tan alpha hati + tan alpha hatj-3/sqrt(sin alpha/2)hatk are orthogonal and a vector veca = hati + 3hatj + sin 2alpha hatk makes an obtuse angle with the z-axis, then the value of alpha is

If hati and hatj are unit vectors along X-and Y-axis respective, then what is the magnitude and direction of hati +hatj and hati - hatj ?

If veca=hati+hatj+2htk, bec=hati+2hatj+2hatk and |vecc|=1, then the maximum value of [veca xx vecb vecb xx vecc vecc xx veca] is equal to

Consider two vectors veca=3hati-2hatj+4hatk and vecb=hatj+2hatk. If vecc is a unit vector and k be the maximum value of a.(vecbxxvecc) , then the value of k^(2)-50 is equal to

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .