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

3hati+2hatj+xhatk vector which makes an angle of 90^(@) with the vector 2hati+2hatj-hatk find the value of x

A unit vector in the xy-plane that makes an angle of pi/4 with the vector hati+hatj and an angle of 'pi/3' with the vector 3hati-4hatj is

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

The vector veca=1/4(2hati-2hatj+hatk) (A) is a unit vector (B) makes an angle of pi/3 with the vector (hati+1/2 hatj-hatk) (C) is parallel to the vector 7/4hati-7/4hatj+7/8hatk (D) none of these

The values of a for which the points A, B, and C with position vectors 2hati - hatj + hatk, hati - 3hatj - 5hatk, and ahati - 3hatj + hatk ,respectively, are the vertices of a right-angled triangle with C = pi/2 are

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

Let a vector veca =alpha hati + 2hatj + beta hatk (alpha, beta in R) , veca lies in the plane of the vectors, vecb= hati + hatj and vecc= hati -hatj+4hatk . If veca bisects the angle between vecb and vecc , then :

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, vecb = hati - hatj + hatk and vecc is a unit vector bot to the vector veca and coplanar with veca and vecb , then a unit vector vecd is perpendicular to both veca and vecc is:

Let vecu=u_(1)hati +u_(3)hatk be a unit vector in xz-plane and vecq = 1/sqrt6 ( hati + hatj + 2hatk) . If there exists a vector vecc in such that |vecu xx vecc|=1 and vecq . (vecu xx vecc) =1 .Then