If the position vectors of `A, B and C` are respectively `2overlinei-overlinej + overlinek, overlinei +3overlinej-5overlinekand 3overlinei- 4overlinej- 4overlinek,` then `cos^2A=`

Find the angle between the vectors overlinei+2overlinej+3overlinek and 3overlinei-overlinej+2overlinek

IF the position vectors of the points A,B,C are -2overlinei+overlinej-overlinek-4overlinei+2overlinej+2overlinek,6overlinei-3overlinej-13overlinek respectively and overline(AB)=lamdaoverline(AC) then find the value of lamda .

Find the vectors equation of the line passing through the points 2overlinei+overlinej+3overlinek,-4overlinei+3overlinej-overlinek

If the position vectors of P, Q are respectively 5a + 4b and 3a - 2b then QP =

Find the shortest distance between the skew lines. overliner=(6overlinei+2overlinej+2overlinek)+t(overlinei-2overlinej+2overlinek) and overliner=(-4overlinei-overlinek)+s(3overlinei-2overlinej-2overlinek)

IF the vectors 2overlinei+lamdaoverlinej-overlinek,4overlinei-2overlinej+2overlinek are perpendicular to each other then find lamda .

IF the vectors -3overlinei+4overlinej+lamdaoverlinek,muoverlinei+8overlinej+6overlinek are collinear vectors then find lamda & mu .

IF overline(OA)=overlinei-overlinej-overlinek,overline(AB)=2overlinei-2overlinej-4overlinek,overline(BC)=2overlinei-overlinej+3overlinek,overline(CD)=3overlinei-overlinej-1overlinek then find the vector overline(OD)

Let overlinea=overlinei+2overlinej+3overlinek & overlineb=3overlinei+overlinej . Find a unit vector in the direction of overlinea+overlineb

Find the area of the parallelogram whose adjacent sides are a=2overlinei-3overlinej,overlineb=3overlinei-overlinek