If `|vec A|=4 units ,|vec A+vec B|=10" units and vecA.(vecA+vecB)=20 units`,find `|vec B|

Let veca, vecb, vec c such that |veca| = 1 , |vecb| = 1 and |vec c | = 2 and if veca xx (veca xx vec c ) + vec b = 0 then find acute angle between veca and vec c

If | vec a|=2,\ | vec b|=5\ a n d\ | vec axx vec b|=8,\ find veca.vecb

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 b is a unit vector such that ( vec a+ vec b)dot ( (vec a- vec b))=8,\ find \ | vec a|dot

If vec a , vec b , and vec c are unit vectors such that vec a+ vec b+ vec c=0, then find the value of veca*vecb+vecb*vecc+vecc*veca

If vec a,vec b , vec c are unit vectors such that veca + vec b+ vecc = 0 and lambda = veca.vecb + vecb.vecc+vecc.veca and d = veca xx vecb + vecb xx vecc + vecc xx veca , then (lambda,vecd) is

If vec a,vec b , vec c are unit vectors such that veca + vec b+ vecc = 0 and lambda = veca.vecb + vecb.vecc+vecc.veca and d = veca xx vecb + vecb xx vecc + vecc xx veca , then (lambda,vecd) is

What is the property of two vectores vec A and vec B if: (A) |vecA + vecB|= |vecA - vecB| (b) vecA + vecB = vecA - vecB

If vec a+ vecb +vec c=0 then find veca.vecb+ vecb.vec c+ vec c.veca if |veca| =3, |vecb|=4 and |vec c|=2